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Finding the Fourth Proportional to 654.02, 980.10 and 410.40

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Solution

The fourth proportional to 654.02, 980.10 and 410.40 is: 615.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.02 : 980.10 = 410.40 : x
  2. Step 2: Convert to fraction form
    654.02/980.10 = 410.40/x
  3. Step 3: Cross multiply
    654.02x = 980.10 × 410.40
  4. Step 4: Simplify right side
    654.02x = 402,233.04
  5. Step 5: Solve for x
    x = 402,233.04/654.02
  6. Step 6: Final answer
    x = 615.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.