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Finding the Fourth Proportional to 425.61, 585.97 and 370.35

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Solution

The fourth proportional to 425.61, 585.97 and 370.35 is: 509.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.61 : 585.97 = 370.35 : x
  2. Step 2: Convert to fraction form
    425.61/585.97 = 370.35/x
  3. Step 3: Cross multiply
    425.61x = 585.97 × 370.35
  4. Step 4: Simplify right side
    425.61x = 217,013.06
  5. Step 5: Solve for x
    x = 217,013.06/425.61
  6. Step 6: Final answer
    x = 509.89

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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.