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Finding the Fourth Proportional to 595.80, 892.62 and 287.46

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Solution

The fourth proportional to 595.80, 892.62 and 287.46 is: 430.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.80 : 892.62 = 287.46 : x
  2. Step 2: Convert to fraction form
    595.80/892.62 = 287.46/x
  3. Step 3: Cross multiply
    595.80x = 892.62 × 287.46
  4. Step 4: Simplify right side
    595.80x = 256,592.55
  5. Step 5: Solve for x
    x = 256,592.55/595.80
  6. Step 6: Final answer
    x = 430.67

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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.