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Finding the Fourth Proportional to 500.67, 746.35 and 473.31

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Solution

The fourth proportional to 500.67, 746.35 and 473.31 is: 705.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.67 : 746.35 = 473.31 : x
  2. Step 2: Convert to fraction form
    500.67/746.35 = 473.31/x
  3. Step 3: Cross multiply
    500.67x = 746.35 × 473.31
  4. Step 4: Simplify right side
    500.67x = 353,253.74
  5. Step 5: Solve for x
    x = 353,253.74/500.67
  6. Step 6: Final answer
    x = 705.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.