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Finding the Fourth Proportional to 501.08, 747.20 and 466.46

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Solution

The fourth proportional to 501.08, 747.20 and 466.46 is: 695.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.08 : 747.20 = 466.46 : x
  2. Step 2: Convert to fraction form
    501.08/747.20 = 466.46/x
  3. Step 3: Cross multiply
    501.08x = 747.20 × 466.46
  4. Step 4: Simplify right side
    501.08x = 348,538.91
  5. Step 5: Solve for x
    x = 348,538.91/501.08
  6. Step 6: Final answer
    x = 695.58

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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.