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Finding the Fourth Proportional to 440.40, 607.86 and 411.24

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Solution

The fourth proportional to 440.40, 607.86 and 411.24 is: 567.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.40 : 607.86 = 411.24 : x
  2. Step 2: Convert to fraction form
    440.40/607.86 = 411.24/x
  3. Step 3: Cross multiply
    440.40x = 607.86 × 411.24
  4. Step 4: Simplify right side
    440.40x = 249,976.35
  5. Step 5: Solve for x
    x = 249,976.35/440.40
  6. Step 6: Final answer
    x = 567.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.