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Finding the Fourth Proportional to 658.24, 906.24 and 559.84

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Solution

The fourth proportional to 658.24, 906.24 and 559.84 is: 770.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.24 : 906.24 = 559.84 : x
  2. Step 2: Convert to fraction form
    658.24/906.24 = 559.84/x
  3. Step 3: Cross multiply
    658.24x = 906.24 × 559.84
  4. Step 4: Simplify right side
    658.24x = 507,349.40
  5. Step 5: Solve for x
    x = 507,349.40/658.24
  6. Step 6: Final answer
    x = 770.77

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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.