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Finding the Fourth Proportional to 659.40, 907.96 and 576.02

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Solution

The fourth proportional to 659.40, 907.96 and 576.02 is: 793.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.40 : 907.96 = 576.02 : x
  2. Step 2: Convert to fraction form
    659.40/907.96 = 576.02/x
  3. Step 3: Cross multiply
    659.40x = 907.96 × 576.02
  4. Step 4: Simplify right side
    659.40x = 523,000.24
  5. Step 5: Solve for x
    x = 523,000.24/659.40
  6. Step 6: Final answer
    x = 793.15

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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.