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Finding the Fourth Proportional to 578.06, 797.72 and 316.06

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Solution

The fourth proportional to 578.06, 797.72 and 316.06 is: 436.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.06 : 797.72 = 316.06 : x
  2. Step 2: Convert to fraction form
    578.06/797.72 = 316.06/x
  3. Step 3: Cross multiply
    578.06x = 797.72 × 316.06
  4. Step 4: Simplify right side
    578.06x = 252,127.38
  5. Step 5: Solve for x
    x = 252,127.38/578.06
  6. Step 6: Final answer
    x = 436.16

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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.