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Finding the Fourth Proportional to 602.56, 904.02 and 314.20

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Solution

The fourth proportional to 602.56, 904.02 and 314.20 is: 471.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.56 : 904.02 = 314.20 : x
  2. Step 2: Convert to fraction form
    602.56/904.02 = 314.20/x
  3. Step 3: Cross multiply
    602.56x = 904.02 × 314.20
  4. Step 4: Simplify right side
    602.56x = 284,043.08
  5. Step 5: Solve for x
    x = 284,043.08/602.56
  6. Step 6: Final answer
    x = 471.39

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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.