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Finding the Fourth Proportional to 658.06, 985.59 and 463.93

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Solution

The fourth proportional to 658.06, 985.59 and 463.93 is: 694.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.06 : 985.59 = 463.93 : x
  2. Step 2: Convert to fraction form
    658.06/985.59 = 463.93/x
  3. Step 3: Cross multiply
    658.06x = 985.59 × 463.93
  4. Step 4: Simplify right side
    658.06x = 457,242.30
  5. Step 5: Solve for x
    x = 457,242.30/658.06
  6. Step 6: Final answer
    x = 694.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.