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Finding the Fourth Proportional to 577.16, 795.78 and 437.24

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Solution

The fourth proportional to 577.16, 795.78 and 437.24 is: 602.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.16 : 795.78 = 437.24 : x
  2. Step 2: Convert to fraction form
    577.16/795.78 = 437.24/x
  3. Step 3: Cross multiply
    577.16x = 795.78 × 437.24
  4. Step 4: Simplify right side
    577.16x = 347,946.85
  5. Step 5: Solve for x
    x = 347,946.85/577.16
  6. Step 6: Final answer
    x = 602.86

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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.