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Finding the Fourth Proportional to 410.40, 537.60 and 410.40

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Solution

The fourth proportional to 410.40, 537.60 and 410.40 is: 537.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.40 : 537.60 = 410.40 : x
  2. Step 2: Convert to fraction form
    410.40/537.60 = 410.40/x
  3. Step 3: Cross multiply
    410.40x = 537.60 × 410.40
  4. Step 4: Simplify right side
    410.40x = 220,631.04
  5. Step 5: Solve for x
    x = 220,631.04/410.40
  6. Step 6: Final answer
    x = 537.60

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.