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Finding the Fourth Proportional to 690.07, 952.52 and 442.06

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Solution

The fourth proportional to 690.07, 952.52 and 442.06 is: 610.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.07 : 952.52 = 442.06 : x
  2. Step 2: Convert to fraction form
    690.07/952.52 = 442.06/x
  3. Step 3: Cross multiply
    690.07x = 952.52 × 442.06
  4. Step 4: Simplify right side
    690.07x = 421,066.40
  5. Step 5: Solve for x
    x = 421,066.40/690.07
  6. Step 6: Final answer
    x = 610.18

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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.