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Finding the Fourth Proportional to 607.42, 910.42 and 282.10

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Solution

The fourth proportional to 607.42, 910.42 and 282.10 is: 422.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.42 : 910.42 = 282.10 : x
  2. Step 2: Convert to fraction form
    607.42/910.42 = 282.10/x
  3. Step 3: Cross multiply
    607.42x = 910.42 × 282.10
  4. Step 4: Simplify right side
    607.42x = 256,829.48
  5. Step 5: Solve for x
    x = 256,829.48/607.42
  6. Step 6: Final answer
    x = 422.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.