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Finding the Fourth Proportional to 590.17, 883.64 and 425.81

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Solution

The fourth proportional to 590.17, 883.64 and 425.81 is: 637.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.17 : 883.64 = 425.81 : x
  2. Step 2: Convert to fraction form
    590.17/883.64 = 425.81/x
  3. Step 3: Cross multiply
    590.17x = 883.64 × 425.81
  4. Step 4: Simplify right side
    590.17x = 376,261.05
  5. Step 5: Solve for x
    x = 376,261.05/590.17
  6. Step 6: Final answer
    x = 637.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.