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Finding the Fourth Proportional to 690.18, 952.50 and 410.46

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Solution

The fourth proportional to 690.18, 952.50 and 410.46 is: 566.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.18 : 952.50 = 410.46 : x
  2. Step 2: Convert to fraction form
    690.18/952.50 = 410.46/x
  3. Step 3: Cross multiply
    690.18x = 952.50 × 410.46
  4. Step 4: Simplify right side
    690.18x = 390,963.15
  5. Step 5: Solve for x
    x = 390,963.15/690.18
  6. Step 6: Final answer
    x = 566.47

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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.