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Finding the Fourth Proportional to 577.18, 865.76 and 346.13

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Solution

The fourth proportional to 577.18, 865.76 and 346.13 is: 519.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.18 : 865.76 = 346.13 : x
  2. Step 2: Convert to fraction form
    577.18/865.76 = 346.13/x
  3. Step 3: Cross multiply
    577.18x = 865.76 × 346.13
  4. Step 4: Simplify right side
    577.18x = 299,665.51
  5. Step 5: Solve for x
    x = 299,665.51/577.18
  6. Step 6: Final answer
    x = 519.19

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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.