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Finding the Fourth Proportional to 470.54, 705.56 and 373.67

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Solution

The fourth proportional to 470.54, 705.56 and 373.67 is: 560.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.54 : 705.56 = 373.67 : x
  2. Step 2: Convert to fraction form
    470.54/705.56 = 373.67/x
  3. Step 3: Cross multiply
    470.54x = 705.56 × 373.67
  4. Step 4: Simplify right side
    470.54x = 263,645.26
  5. Step 5: Solve for x
    x = 263,645.26/470.54
  6. Step 6: Final answer
    x = 560.30

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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.