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Finding the Fourth Proportional to 690.13, 952.50 and 410.45

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Solution

The fourth proportional to 690.13, 952.50 and 410.45 is: 566.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.13 : 952.50 = 410.45 : x
  2. Step 2: Convert to fraction form
    690.13/952.50 = 410.45/x
  3. Step 3: Cross multiply
    690.13x = 952.50 × 410.45
  4. Step 4: Simplify right side
    690.13x = 390,956.89
  5. Step 5: Solve for x
    x = 390,956.89/690.13
  6. Step 6: Final answer
    x = 566.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.