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Finding the Fourth Proportional to 686.52, 946.94 and 424.67

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Solution

The fourth proportional to 686.52, 946.94 and 424.67 is: 585.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.52 : 946.94 = 424.67 : x
  2. Step 2: Convert to fraction form
    686.52/946.94 = 424.67/x
  3. Step 3: Cross multiply
    686.52x = 946.94 × 424.67
  4. Step 4: Simplify right side
    686.52x = 402,130.15
  5. Step 5: Solve for x
    x = 402,130.15/686.52
  6. Step 6: Final answer
    x = 585.75

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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.