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Finding the Fourth Proportional to 575.24, 794.10 and 368.36

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Solution

The fourth proportional to 575.24, 794.10 and 368.36 is: 508.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.24 : 794.10 = 368.36 : x
  2. Step 2: Convert to fraction form
    575.24/794.10 = 368.36/x
  3. Step 3: Cross multiply
    575.24x = 794.10 × 368.36
  4. Step 4: Simplify right side
    575.24x = 292,514.68
  5. Step 5: Solve for x
    x = 292,514.68/575.24
  6. Step 6: Final answer
    x = 508.51

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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.