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Finding the Fourth Proportional to 582.34, 872.48 and 307.83

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Solution

The fourth proportional to 582.34, 872.48 and 307.83 is: 461.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.34 : 872.48 = 307.83 : x
  2. Step 2: Convert to fraction form
    582.34/872.48 = 307.83/x
  3. Step 3: Cross multiply
    582.34x = 872.48 × 307.83
  4. Step 4: Simplify right side
    582.34x = 268,571.16
  5. Step 5: Solve for x
    x = 268,571.16/582.34
  6. Step 6: Final answer
    x = 461.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.