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Finding the Fourth Proportional to 424.79, 586.09 and 259.01

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Solution

The fourth proportional to 424.79, 586.09 and 259.01 is: 357.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.79 : 586.09 = 259.01 : x
  2. Step 2: Convert to fraction form
    424.79/586.09 = 259.01/x
  3. Step 3: Cross multiply
    424.79x = 586.09 × 259.01
  4. Step 4: Simplify right side
    424.79x = 151,803.17
  5. Step 5: Solve for x
    x = 151,803.17/424.79
  6. Step 6: Final answer
    x = 357.36

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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.