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Finding the Fourth Proportional to 658.58, 908.93 and 547.87

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Solution

The fourth proportional to 658.58, 908.93 and 547.87 is: 756.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.58 : 908.93 = 547.87 : x
  2. Step 2: Convert to fraction form
    658.58/908.93 = 547.87/x
  3. Step 3: Cross multiply
    658.58x = 908.93 × 547.87
  4. Step 4: Simplify right side
    658.58x = 497,975.48
  5. Step 5: Solve for x
    x = 497,975.48/658.58
  6. Step 6: Final answer
    x = 756.14

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Why These Related Problems?

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