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Finding the Fourth Proportional to 424.37, 585.47 and 314.11

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Solution

The fourth proportional to 424.37, 585.47 and 314.11 is: 433.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.37 : 585.47 = 314.11 : x
  2. Step 2: Convert to fraction form
    424.37/585.47 = 314.11/x
  3. Step 3: Cross multiply
    424.37x = 585.47 × 314.11
  4. Step 4: Simplify right side
    424.37x = 183,901.98
  5. Step 5: Solve for x
    x = 183,901.98/424.37
  6. Step 6: Final answer
    x = 433.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.