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Finding the Fourth Proportional to 540.10, 808.80 and 402.40

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Solution

The fourth proportional to 540.10, 808.80 and 402.40 is: 602.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.10 : 808.80 = 402.40 : x
  2. Step 2: Convert to fraction form
    540.10/808.80 = 402.40/x
  3. Step 3: Cross multiply
    540.10x = 808.80 × 402.40
  4. Step 4: Simplify right side
    540.10x = 325,461.12
  5. Step 5: Solve for x
    x = 325,461.12/540.10
  6. Step 6: Final answer
    x = 602.59

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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.