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Finding the Fourth Proportional to 500.16, 746.64 and 467.52

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Solution

The fourth proportional to 500.16, 746.64 and 467.52 is: 697.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.16 : 746.64 = 467.52 : x
  2. Step 2: Convert to fraction form
    500.16/746.64 = 467.52/x
  3. Step 3: Cross multiply
    500.16x = 746.64 × 467.52
  4. Step 4: Simplify right side
    500.16x = 349,069.13
  5. Step 5: Solve for x
    x = 349,069.13/500.16
  6. Step 6: Final answer
    x = 697.91

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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.