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Finding the Fourth Proportional to 613.31, 924.59 and 573.67

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Solution

The fourth proportional to 613.31, 924.59 and 573.67 is: 864.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.31 : 924.59 = 573.67 : x
  2. Step 2: Convert to fraction form
    613.31/924.59 = 573.67/x
  3. Step 3: Cross multiply
    613.31x = 924.59 × 573.67
  4. Step 4: Simplify right side
    613.31x = 530,407.41
  5. Step 5: Solve for x
    x = 530,407.41/613.31
  6. Step 6: Final answer
    x = 864.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.