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Finding the Fourth Proportional to 690.48, 952.72 and 410.68

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Solution

The fourth proportional to 690.48, 952.72 and 410.68 is: 566.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.48 : 952.72 = 410.68 : x
  2. Step 2: Convert to fraction form
    690.48/952.72 = 410.68/x
  3. Step 3: Cross multiply
    690.48x = 952.72 × 410.68
  4. Step 4: Simplify right side
    690.48x = 391,263.05
  5. Step 5: Solve for x
    x = 391,263.05/690.48
  6. Step 6: Final answer
    x = 566.65

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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.