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Finding the Fourth Proportional to 577.92, 866.88 and 385.68

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Solution

The fourth proportional to 577.92, 866.88 and 385.68 is: 578.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.92 : 866.88 = 385.68 : x
  2. Step 2: Convert to fraction form
    577.92/866.88 = 385.68/x
  3. Step 3: Cross multiply
    577.92x = 866.88 × 385.68
  4. Step 4: Simplify right side
    577.92x = 334,338.28
  5. Step 5: Solve for x
    x = 334,338.28/577.92
  6. Step 6: Final answer
    x = 578.52

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Double scale
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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.