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Finding the Fourth Proportional to 424.86, 586.36 and 259.07

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Solution

The fourth proportional to 424.86, 586.36 and 259.07 is: 357.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.86 : 586.36 = 259.07 : x
  2. Step 2: Convert to fraction form
    424.86/586.36 = 259.07/x
  3. Step 3: Cross multiply
    424.86x = 586.36 × 259.07
  4. Step 4: Simplify right side
    424.86x = 151,904.22
  5. Step 5: Solve for x
    x = 151,904.22/424.86
  6. Step 6: Final answer
    x = 357.54

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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.