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Finding the Fourth Proportional to 285.30, 425.07 and 283.32

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Solution

The fourth proportional to 285.30, 425.07 and 283.32 is: 422.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.30 : 425.07 = 283.32 : x
  2. Step 2: Convert to fraction form
    285.30/425.07 = 283.32/x
  3. Step 3: Cross multiply
    285.30x = 425.07 × 283.32
  4. Step 4: Simplify right side
    285.30x = 120,430.83
  5. Step 5: Solve for x
    x = 120,430.83/285.30
  6. Step 6: Final answer
    x = 422.12

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.