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Finding the Fourth Proportional to 686.58, 946.69 and 500.16

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Solution

The fourth proportional to 686.58, 946.69 and 500.16 is: 689.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.58 : 946.69 = 500.16 : x
  2. Step 2: Convert to fraction form
    686.58/946.69 = 500.16/x
  3. Step 3: Cross multiply
    686.58x = 946.69 × 500.16
  4. Step 4: Simplify right side
    686.58x = 473,493.44
  5. Step 5: Solve for x
    x = 473,493.44/686.58
  6. Step 6: Final answer
    x = 689.64

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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.