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Finding the Fourth Proportional to 574.40, 790.80 and 503.84

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Solution

The fourth proportional to 574.40, 790.80 and 503.84 is: 693.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.40 : 790.80 = 503.84 : x
  2. Step 2: Convert to fraction form
    574.40/790.80 = 503.84/x
  3. Step 3: Cross multiply
    574.40x = 790.80 × 503.84
  4. Step 4: Simplify right side
    574.40x = 398,436.67
  5. Step 5: Solve for x
    x = 398,436.67/574.40
  6. Step 6: Final answer
    x = 693.66

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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.