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Finding the Fourth Proportional to 501.74, 748.98 and 433.70

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Solution

The fourth proportional to 501.74, 748.98 and 433.70 is: 647.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.74 : 748.98 = 433.70 : x
  2. Step 2: Convert to fraction form
    501.74/748.98 = 433.70/x
  3. Step 3: Cross multiply
    501.74x = 748.98 × 433.70
  4. Step 4: Simplify right side
    501.74x = 324,830.46
  5. Step 5: Solve for x
    x = 324,830.46/501.74
  6. Step 6: Final answer
    x = 647.41

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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.