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Finding the Fourth Proportional to 501.96, 753.28 and 460.27

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Solution

The fourth proportional to 501.96, 753.28 and 460.27 is: 690.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.96 : 753.28 = 460.27 : x
  2. Step 2: Convert to fraction form
    501.96/753.28 = 460.27/x
  3. Step 3: Cross multiply
    501.96x = 753.28 × 460.27
  4. Step 4: Simplify right side
    501.96x = 346,712.19
  5. Step 5: Solve for x
    x = 346,712.19/501.96
  6. Step 6: Final answer
    x = 690.72

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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.