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Finding the Fourth Proportional to 460.04, 690.04 and 135.42

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Solution

The fourth proportional to 460.04, 690.04 and 135.42 is: 203.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.04 : 690.04 = 135.42 : x
  2. Step 2: Convert to fraction form
    460.04/690.04 = 135.42/x
  3. Step 3: Cross multiply
    460.04x = 690.04 × 135.42
  4. Step 4: Simplify right side
    460.04x = 93,445.22
  5. Step 5: Solve for x
    x = 93,445.22/460.04
  6. Step 6: Final answer
    x = 203.12

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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.