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Finding the Fourth Proportional to 686.16, 946.76 and 410.32

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Solution

The fourth proportional to 686.16, 946.76 and 410.32 is: 566.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.16 : 946.76 = 410.32 : x
  2. Step 2: Convert to fraction form
    686.16/946.76 = 410.32/x
  3. Step 3: Cross multiply
    686.16x = 946.76 × 410.32
  4. Step 4: Simplify right side
    686.16x = 388,474.56
  5. Step 5: Solve for x
    x = 388,474.56/686.16
  6. Step 6: Final answer
    x = 566.16

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Double scale
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1.5x scale

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.