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Finding the Fourth Proportional to 661.76, 913.04 and 429.04

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Solution

The fourth proportional to 661.76, 913.04 and 429.04 is: 591.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.76 : 913.04 = 429.04 : x
  2. Step 2: Convert to fraction form
    661.76/913.04 = 429.04/x
  3. Step 3: Cross multiply
    661.76x = 913.04 × 429.04
  4. Step 4: Simplify right side
    661.76x = 391,730.68
  5. Step 5: Solve for x
    x = 391,730.68/661.76
  6. Step 6: Final answer
    x = 591.95

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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.