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Finding the Fourth Proportional to 424.91, 585.93 and 314.60

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Solution

The fourth proportional to 424.91, 585.93 and 314.60 is: 433.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.91 : 585.93 = 314.60 : x
  2. Step 2: Convert to fraction form
    424.91/585.93 = 314.60/x
  3. Step 3: Cross multiply
    424.91x = 585.93 × 314.60
  4. Step 4: Simplify right side
    424.91x = 184,333.58
  5. Step 5: Solve for x
    x = 184,333.58/424.91
  6. Step 6: Final answer
    x = 433.82

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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.