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Finding the Fourth Proportional to 689.96, 952.04 and 410.19

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Solution

The fourth proportional to 689.96, 952.04 and 410.19 is: 566.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.96 : 952.04 = 410.19 : x
  2. Step 2: Convert to fraction form
    689.96/952.04 = 410.19/x
  3. Step 3: Cross multiply
    689.96x = 952.04 × 410.19
  4. Step 4: Simplify right side
    689.96x = 390,520.10
  5. Step 5: Solve for x
    x = 390,520.10/689.96
  6. Step 6: Final answer
    x = 566.00

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Double scale
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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.