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Finding the Fourth Proportional to 661.05, 911.84 and 424.92

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Solution

The fourth proportional to 661.05, 911.84 and 424.92 is: 586.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.05 : 911.84 = 424.92 : x
  2. Step 2: Convert to fraction form
    661.05/911.84 = 424.92/x
  3. Step 3: Cross multiply
    661.05x = 911.84 × 424.92
  4. Step 4: Simplify right side
    661.05x = 387,459.05
  5. Step 5: Solve for x
    x = 387,459.05/661.05
  6. Step 6: Final answer
    x = 586.13

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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.