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Finding the Fourth Proportional to 577.76, 797.33 and 315.78

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Solution

The fourth proportional to 577.76, 797.33 and 315.78 is: 435.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.76 : 797.33 = 315.78 : x
  2. Step 2: Convert to fraction form
    577.76/797.33 = 315.78/x
  3. Step 3: Cross multiply
    577.76x = 797.33 × 315.78
  4. Step 4: Simplify right side
    577.76x = 251,779.29
  5. Step 5: Solve for x
    x = 251,779.29/577.76
  6. Step 6: Final answer
    x = 435.79

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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.