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Finding the Fourth Proportional to 575.67, 864.02 and 380.13

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Solution

The fourth proportional to 575.67, 864.02 and 380.13 is: 570.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.67 : 864.02 = 380.13 : x
  2. Step 2: Convert to fraction form
    575.67/864.02 = 380.13/x
  3. Step 3: Cross multiply
    575.67x = 864.02 × 380.13
  4. Step 4: Simplify right side
    575.67x = 328,438.02
  5. Step 5: Solve for x
    x = 328,438.02/575.67
  6. Step 6: Final answer
    x = 570.53

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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.