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Finding the Fourth Proportional to 582.96, 872.90 and 549.24

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Solution

The fourth proportional to 582.96, 872.90 and 549.24 is: 822.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.96 : 872.90 = 549.24 : x
  2. Step 2: Convert to fraction form
    582.96/872.90 = 549.24/x
  3. Step 3: Cross multiply
    582.96x = 872.90 × 549.24
  4. Step 4: Simplify right side
    582.96x = 479,424.49
  5. Step 5: Solve for x
    x = 479,424.49/582.96
  6. Step 6: Final answer
    x = 822.40

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Why These Related Problems?

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