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Finding the Fourth Proportional to 604.56, 907.02 and 316.20

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Solution

The fourth proportional to 604.56, 907.02 and 316.20 is: 474.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.56 : 907.02 = 316.20 : x
  2. Step 2: Convert to fraction form
    604.56/907.02 = 316.20/x
  3. Step 3: Cross multiply
    604.56x = 907.02 × 316.20
  4. Step 4: Simplify right side
    604.56x = 286,799.72
  5. Step 5: Solve for x
    x = 286,799.72/604.56
  6. Step 6: Final answer
    x = 474.39

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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.