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Finding the Fourth Proportional to 537, 809.16 and 478.07

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Solution

The fourth proportional to 537, 809.16 and 478.07 is: 720.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    537 : 809.16 = 478.07 : x
  2. Step 2: Convert to fraction form
    537/809.16 = 478.07/x
  3. Step 3: Cross multiply
    537x = 809.16 × 478.07
  4. Step 4: Simplify right side
    537x = 386,831.08
  5. Step 5: Solve for x
    x = 386,831.08/537
  6. Step 6: Final answer
    x = 720.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.