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Finding the Fourth Proportional to 424.84, 586.12 and 259

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Solution

The fourth proportional to 424.84, 586.12 and 259 is: 357.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.84 : 586.12 = 259 : x
  2. Step 2: Convert to fraction form
    424.84/586.12 = 259/x
  3. Step 3: Cross multiply
    424.84x = 586.12 × 259
  4. Step 4: Simplify right side
    424.84x = 151,805.08
  5. Step 5: Solve for x
    x = 151,805.08/424.84
  6. Step 6: Final answer
    x = 357.32

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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.