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Finding the Fourth Proportional to 582.50, 803.86 and 349.62

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Solution

The fourth proportional to 582.50, 803.86 and 349.62 is: 482.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.50 : 803.86 = 349.62 : x
  2. Step 2: Convert to fraction form
    582.50/803.86 = 349.62/x
  3. Step 3: Cross multiply
    582.50x = 803.86 × 349.62
  4. Step 4: Simplify right side
    582.50x = 281,045.53
  5. Step 5: Solve for x
    x = 281,045.53/582.50
  6. Step 6: Final answer
    x = 482.48

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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.