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Finding the Fourth Proportional to 407.28, 562.23 and 314.00

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Solution

The fourth proportional to 407.28, 562.23 and 314.00 is: 433.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.28 : 562.23 = 314.00 : x
  2. Step 2: Convert to fraction form
    407.28/562.23 = 314.00/x
  3. Step 3: Cross multiply
    407.28x = 562.23 × 314.00
  4. Step 4: Simplify right side
    407.28x = 176,537.41
  5. Step 5: Solve for x
    x = 176,537.41/407.28
  6. Step 6: Final answer
    x = 433.45

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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.