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Finding the Fourth Proportional to 689.96, 952.06 and 410.20

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Solution

The fourth proportional to 689.96, 952.06 and 410.20 is: 566.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.96 : 952.06 = 410.20 : x
  2. Step 2: Convert to fraction form
    689.96/952.06 = 410.20/x
  3. Step 3: Cross multiply
    689.96x = 952.06 × 410.20
  4. Step 4: Simplify right side
    689.96x = 390,535.01
  5. Step 5: Solve for x
    x = 390,535.01/689.96
  6. Step 6: Final answer
    x = 566.03

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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.