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Finding the Fourth Proportional to 602.51, 904.13 and 237.30

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Solution

The fourth proportional to 602.51, 904.13 and 237.30 is: 356.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.51 : 904.13 = 237.30 : x
  2. Step 2: Convert to fraction form
    602.51/904.13 = 237.30/x
  3. Step 3: Cross multiply
    602.51x = 904.13 × 237.30
  4. Step 4: Simplify right side
    602.51x = 214,550.05
  5. Step 5: Solve for x
    x = 214,550.05/602.51
  6. Step 6: Final answer
    x = 356.09

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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.