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Finding the Fourth Proportional to 690.19, 952.26 and 410.28

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Solution

The fourth proportional to 690.19, 952.26 and 410.28 is: 566.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.19 : 952.26 = 410.28 : x
  2. Step 2: Convert to fraction form
    690.19/952.26 = 410.28/x
  3. Step 3: Cross multiply
    690.19x = 952.26 × 410.28
  4. Step 4: Simplify right side
    690.19x = 390,693.48
  5. Step 5: Solve for x
    x = 390,693.48/690.19
  6. Step 6: Final answer
    x = 566.07

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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.