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Finding the Fourth Proportional to 602.97, 904.52 and 278.43

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Solution

The fourth proportional to 602.97, 904.52 and 278.43 is: 417.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.97 : 904.52 = 278.43 : x
  2. Step 2: Convert to fraction form
    602.97/904.52 = 278.43/x
  3. Step 3: Cross multiply
    602.97x = 904.52 × 278.43
  4. Step 4: Simplify right side
    602.97x = 251,844.11
  5. Step 5: Solve for x
    x = 251,844.11/602.97
  6. Step 6: Final answer
    x = 417.67

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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.