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Finding the Fourth Proportional to 424, 585.12 and 286.24

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Solution

The fourth proportional to 424, 585.12 and 286.24 is: 395.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    424 : 585.12 = 286.24 : x
  2. Step 2: Convert to fraction form
    424/585.12 = 286.24/x
  3. Step 3: Cross multiply
    424x = 585.12 × 286.24
  4. Step 4: Simplify right side
    424x = 167,484.75
  5. Step 5: Solve for x
    x = 167,484.75/424
  6. Step 6: Final answer
    x = 395.01

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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.