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Finding the Fourth Proportional to 688.24, 949.08 and 412.40

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Solution

The fourth proportional to 688.24, 949.08 and 412.40 is: 568.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.24 : 949.08 = 412.40 : x
  2. Step 2: Convert to fraction form
    688.24/949.08 = 412.40/x
  3. Step 3: Cross multiply
    688.24x = 949.08 × 412.40
  4. Step 4: Simplify right side
    688.24x = 391,400.59
  5. Step 5: Solve for x
    x = 391,400.59/688.24
  6. Step 6: Final answer
    x = 568.70

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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.