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Finding the Fourth Proportional to 602.04, 902.40 and 277

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Solution

The fourth proportional to 602.04, 902.40 and 277 is: 415.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.04 : 902.40 = 277 : x
  2. Step 2: Convert to fraction form
    602.04/902.40 = 277/x
  3. Step 3: Cross multiply
    602.04x = 902.40 × 277
  4. Step 4: Simplify right side
    602.04x = 249,964.80
  5. Step 5: Solve for x
    x = 249,964.80/602.04
  6. Step 6: Final answer
    x = 415.20

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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.