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Finding the Fourth Proportional to 661.84, 913.16 and 429.20

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Solution

The fourth proportional to 661.84, 913.16 and 429.20 is: 592.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.84 : 913.16 = 429.20 : x
  2. Step 2: Convert to fraction form
    661.84/913.16 = 429.20/x
  3. Step 3: Cross multiply
    661.84x = 913.16 × 429.20
  4. Step 4: Simplify right side
    661.84x = 391,928.27
  5. Step 5: Solve for x
    x = 391,928.27/661.84
  6. Step 6: Final answer
    x = 592.18

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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.