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Finding the Fourth Proportional to 527.49, 728.45 and 435.15

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Solution

The fourth proportional to 527.49, 728.45 and 435.15 is: 600.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.49 : 728.45 = 435.15 : x
  2. Step 2: Convert to fraction form
    527.49/728.45 = 435.15/x
  3. Step 3: Cross multiply
    527.49x = 728.45 × 435.15
  4. Step 4: Simplify right side
    527.49x = 316,985.02
  5. Step 5: Solve for x
    x = 316,985.02/527.49
  6. Step 6: Final answer
    x = 600.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.