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Finding the Fourth Proportional to 504.62, 751.86 and 471.50

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Solution

The fourth proportional to 504.62, 751.86 and 471.50 is: 702.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.62 : 751.86 = 471.50 : x
  2. Step 2: Convert to fraction form
    504.62/751.86 = 471.50/x
  3. Step 3: Cross multiply
    504.62x = 751.86 × 471.50
  4. Step 4: Simplify right side
    504.62x = 354,499.63
  5. Step 5: Solve for x
    x = 354,499.63/504.62
  6. Step 6: Final answer
    x = 702.51

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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.