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Finding the Fourth Proportional to 602.47, 903.69 and 255.59

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Solution

The fourth proportional to 602.47, 903.69 and 255.59 is: 383.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.47 : 903.69 = 255.59 : x
  2. Step 2: Convert to fraction form
    602.47/903.69 = 255.59/x
  3. Step 3: Cross multiply
    602.47x = 903.69 × 255.59
  4. Step 4: Simplify right side
    602.47x = 230,968.65
  5. Step 5: Solve for x
    x = 230,968.65/602.47
  6. Step 6: Final answer
    x = 383.37

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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.