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Finding the Fourth Proportional to 577.12, 795.81 and 502.78

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Solution

The fourth proportional to 577.12, 795.81 and 502.78 is: 693.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.12 : 795.81 = 502.78 : x
  2. Step 2: Convert to fraction form
    577.12/795.81 = 502.78/x
  3. Step 3: Cross multiply
    577.12x = 795.81 × 502.78
  4. Step 4: Simplify right side
    577.12x = 400,117.35
  5. Step 5: Solve for x
    x = 400,117.35/577.12
  6. Step 6: Final answer
    x = 693.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.