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Finding the Fourth Proportional to 577, 859.73 and 532.84

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Solution

The fourth proportional to 577, 859.73 and 532.84 is: 793.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    577 : 859.73 = 532.84 : x
  2. Step 2: Convert to fraction form
    577/859.73 = 532.84/x
  3. Step 3: Cross multiply
    577x = 859.73 × 532.84
  4. Step 4: Simplify right side
    577x = 458,098.53
  5. Step 5: Solve for x
    x = 458,098.53/577
  6. Step 6: Final answer
    x = 793.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.