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Finding the Fourth Proportional to 578.10, 797.66 and 357.24

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Solution

The fourth proportional to 578.10, 797.66 and 357.24 is: 492.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.10 : 797.66 = 357.24 : x
  2. Step 2: Convert to fraction form
    578.10/797.66 = 357.24/x
  3. Step 3: Cross multiply
    578.10x = 797.66 × 357.24
  4. Step 4: Simplify right side
    578.10x = 284,956.06
  5. Step 5: Solve for x
    x = 284,956.06/578.10
  6. Step 6: Final answer
    x = 492.92

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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.