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Finding the Fourth Proportional to 504.74, 753.02 and 477.50

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Solution

The fourth proportional to 504.74, 753.02 and 477.50 is: 712.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.74 : 753.02 = 477.50 : x
  2. Step 2: Convert to fraction form
    504.74/753.02 = 477.50/x
  3. Step 3: Cross multiply
    504.74x = 753.02 × 477.50
  4. Step 4: Simplify right side
    504.74x = 359,560.90
  5. Step 5: Solve for x
    x = 359,560.90/504.74
  6. Step 6: Final answer
    x = 712.37

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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.