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Finding the Fourth Proportional to 425.02, 586.38 and 259.18

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Solution

The fourth proportional to 425.02, 586.38 and 259.18 is: 357.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.02 : 586.38 = 259.18 : x
  2. Step 2: Convert to fraction form
    425.02/586.38 = 259.18/x
  3. Step 3: Cross multiply
    425.02x = 586.38 × 259.18
  4. Step 4: Simplify right side
    425.02x = 151,977.97
  5. Step 5: Solve for x
    x = 151,977.97/425.02
  6. Step 6: Final answer
    x = 357.58

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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.