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Finding the Fourth Proportional to 525.24, 783.72 and 470.76

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Solution

The fourth proportional to 525.24, 783.72 and 470.76 is: 702.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.24 : 783.72 = 470.76 : x
  2. Step 2: Convert to fraction form
    525.24/783.72 = 470.76/x
  3. Step 3: Cross multiply
    525.24x = 783.72 × 470.76
  4. Step 4: Simplify right side
    525.24x = 368,944.03
  5. Step 5: Solve for x
    x = 368,944.03/525.24
  6. Step 6: Final answer
    x = 702.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.