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Finding the Fourth Proportional to 577.60, 865.56 and 346.56

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Solution

The fourth proportional to 577.60, 865.56 and 346.56 is: 519.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.60 : 865.56 = 346.56 : x
  2. Step 2: Convert to fraction form
    577.60/865.56 = 346.56/x
  3. Step 3: Cross multiply
    577.60x = 865.56 × 346.56
  4. Step 4: Simplify right side
    577.60x = 299,968.47
  5. Step 5: Solve for x
    x = 299,968.47/577.60
  6. Step 6: Final answer
    x = 519.34

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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.