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Finding the Fourth Proportional to 501.64, 748.66 and 488.68

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Solution

The fourth proportional to 501.64, 748.66 and 488.68 is: 729.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.64 : 748.66 = 488.68 : x
  2. Step 2: Convert to fraction form
    501.64/748.66 = 488.68/x
  3. Step 3: Cross multiply
    501.64x = 748.66 × 488.68
  4. Step 4: Simplify right side
    501.64x = 365,855.17
  5. Step 5: Solve for x
    x = 365,855.17/501.64
  6. Step 6: Final answer
    x = 729.32

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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.