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Finding the Fourth Proportional to 424.84, 586.33 and 259.15

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Solution

The fourth proportional to 424.84, 586.33 and 259.15 is: 357.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.84 : 586.33 = 259.15 : x
  2. Step 2: Convert to fraction form
    424.84/586.33 = 259.15/x
  3. Step 3: Cross multiply
    424.84x = 586.33 × 259.15
  4. Step 4: Simplify right side
    424.84x = 151,947.42
  5. Step 5: Solve for x
    x = 151,947.42/424.84
  6. Step 6: Final answer
    x = 357.66

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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.