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Finding the Fourth Proportional to 567.50, 851.70 and 293.67

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Solution

The fourth proportional to 567.50, 851.70 and 293.67 is: 440.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.50 : 851.70 = 293.67 : x
  2. Step 2: Convert to fraction form
    567.50/851.70 = 293.67/x
  3. Step 3: Cross multiply
    567.50x = 851.70 × 293.67
  4. Step 4: Simplify right side
    567.50x = 250,113.01
  5. Step 5: Solve for x
    x = 250,113.01/567.50
  6. Step 6: Final answer
    x = 440.73

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.