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Finding the Fourth Proportional to 407.48, 562.60 and 314.06

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Solution

The fourth proportional to 407.48, 562.60 and 314.06 is: 433.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.48 : 562.60 = 314.06 : x
  2. Step 2: Convert to fraction form
    407.48/562.60 = 314.06/x
  3. Step 3: Cross multiply
    407.48x = 562.60 × 314.06
  4. Step 4: Simplify right side
    407.48x = 176,690.16
  5. Step 5: Solve for x
    x = 176,690.16/407.48
  6. Step 6: Final answer
    x = 433.62

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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.