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Finding the Fourth Proportional to 532.39, 797.74 and 410.95

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Solution

The fourth proportional to 532.39, 797.74 and 410.95 is: 615.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.39 : 797.74 = 410.95 : x
  2. Step 2: Convert to fraction form
    532.39/797.74 = 410.95/x
  3. Step 3: Cross multiply
    532.39x = 797.74 × 410.95
  4. Step 4: Simplify right side
    532.39x = 327,831.25
  5. Step 5: Solve for x
    x = 327,831.25/532.39
  6. Step 6: Final answer
    x = 615.77

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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.