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Finding the Fourth Proportional to 686.32, 946.88 and 424.08

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Solution

The fourth proportional to 686.32, 946.88 and 424.08 is: 585.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.32 : 946.88 = 424.08 : x
  2. Step 2: Convert to fraction form
    686.32/946.88 = 424.08/x
  3. Step 3: Cross multiply
    686.32x = 946.88 × 424.08
  4. Step 4: Simplify right side
    686.32x = 401,552.87
  5. Step 5: Solve for x
    x = 401,552.87/686.32
  6. Step 6: Final answer
    x = 585.08

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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.