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Finding the Fourth Proportional to 578.16, 867.12 and 506.16

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Solution

The fourth proportional to 578.16, 867.12 and 506.16 is: 759.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.16 : 867.12 = 506.16 : x
  2. Step 2: Convert to fraction form
    578.16/867.12 = 506.16/x
  3. Step 3: Cross multiply
    578.16x = 867.12 × 506.16
  4. Step 4: Simplify right side
    578.16x = 438,901.46
  5. Step 5: Solve for x
    x = 438,901.46/578.16
  6. Step 6: Final answer
    x = 759.13

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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.