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Finding the Fourth Proportional to 690.03, 952.47 and 442.02

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Solution

The fourth proportional to 690.03, 952.47 and 442.02 is: 610.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.03 : 952.47 = 442.02 : x
  2. Step 2: Convert to fraction form
    690.03/952.47 = 442.02/x
  3. Step 3: Cross multiply
    690.03x = 952.47 × 442.02
  4. Step 4: Simplify right side
    690.03x = 421,010.79
  5. Step 5: Solve for x
    x = 421,010.79/690.03
  6. Step 6: Final answer
    x = 610.13

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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.