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Finding the Fourth Proportional to 460.17, 688.91 and 456.53

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Solution

The fourth proportional to 460.17, 688.91 and 456.53 is: 683.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.17 : 688.91 = 456.53 : x
  2. Step 2: Convert to fraction form
    460.17/688.91 = 456.53/x
  3. Step 3: Cross multiply
    460.17x = 688.91 × 456.53
  4. Step 4: Simplify right side
    460.17x = 314,502.36
  5. Step 5: Solve for x
    x = 314,502.36/460.17
  6. Step 6: Final answer
    x = 683.45

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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.