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Finding the Fourth Proportional to 954.51, 1,432.28 and 407.16

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Solution

The fourth proportional to 954.51, 1,432.28 and 407.16 is: 610.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.51 : 1,432.28 = 407.16 : x
  2. Step 2: Convert to fraction form
    954.51/1,432.28 = 407.16/x
  3. Step 3: Cross multiply
    954.51x = 1,432.28 × 407.16
  4. Step 4: Simplify right side
    954.51x = 583,167.12
  5. Step 5: Solve for x
    x = 583,167.12/954.51
  6. Step 6: Final answer
    x = 610.96

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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.