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Finding the Fourth Proportional to 690.21, 952.57 and 410.51

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Solution

The fourth proportional to 690.21, 952.57 and 410.51 is: 566.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.21 : 952.57 = 410.51 : x
  2. Step 2: Convert to fraction form
    690.21/952.57 = 410.51/x
  3. Step 3: Cross multiply
    690.21x = 952.57 × 410.51
  4. Step 4: Simplify right side
    690.21x = 391,040.87
  5. Step 5: Solve for x
    x = 391,040.87/690.21
  6. Step 6: Final answer
    x = 566.55

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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.