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Finding the Fourth Proportional to 689.98, 952.14 and 410.40

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Solution

The fourth proportional to 689.98, 952.14 and 410.40 is: 566.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.98 : 952.14 = 410.40 : x
  2. Step 2: Convert to fraction form
    689.98/952.14 = 410.40/x
  3. Step 3: Cross multiply
    689.98x = 952.14 × 410.40
  4. Step 4: Simplify right side
    689.98x = 390,758.26
  5. Step 5: Solve for x
    x = 390,758.26/689.98
  6. Step 6: Final answer
    x = 566.33

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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.