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Finding the Fourth Proportional to 577.80, 866.84 and 304.02

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Solution

The fourth proportional to 577.80, 866.84 and 304.02 is: 456.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.80 : 866.84 = 304.02 : x
  2. Step 2: Convert to fraction form
    577.80/866.84 = 304.02/x
  3. Step 3: Cross multiply
    577.80x = 866.84 × 304.02
  4. Step 4: Simplify right side
    577.80x = 263,535.18
  5. Step 5: Solve for x
    x = 263,535.18/577.80
  6. Step 6: Final answer
    x = 456.10

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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.