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Finding the Fourth Proportional to 689.95, 952.23 and 410.23

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Solution

The fourth proportional to 689.95, 952.23 and 410.23 is: 566.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.95 : 952.23 = 410.23 : x
  2. Step 2: Convert to fraction form
    689.95/952.23 = 410.23/x
  3. Step 3: Cross multiply
    689.95x = 952.23 × 410.23
  4. Step 4: Simplify right side
    689.95x = 390,633.31
  5. Step 5: Solve for x
    x = 390,633.31/689.95
  6. Step 6: Final answer
    x = 566.18

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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.