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Finding the Fourth Proportional to 425.98, 588 and 260.14

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Solution

The fourth proportional to 425.98, 588 and 260.14 is: 359.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.98 : 588 = 260.14 : x
  2. Step 2: Convert to fraction form
    425.98/588 = 260.14/x
  3. Step 3: Cross multiply
    425.98x = 588 × 260.14
  4. Step 4: Simplify right side
    425.98x = 152,962.32
  5. Step 5: Solve for x
    x = 152,962.32/425.98
  6. Step 6: Final answer
    x = 359.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.