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Finding the Fourth Proportional to 573.17, 790.66 and 362.96

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Solution

The fourth proportional to 573.17, 790.66 and 362.96 is: 500.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.17 : 790.66 = 362.96 : x
  2. Step 2: Convert to fraction form
    573.17/790.66 = 362.96/x
  3. Step 3: Cross multiply
    573.17x = 790.66 × 362.96
  4. Step 4: Simplify right side
    573.17x = 286,977.95
  5. Step 5: Solve for x
    x = 286,977.95/573.17
  6. Step 6: Final answer
    x = 500.69

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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.