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Finding the Fourth Proportional to 582.96, 873.72 and 486.48

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Solution

The fourth proportional to 582.96, 873.72 and 486.48 is: 729.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.96 : 873.72 = 486.48 : x
  2. Step 2: Convert to fraction form
    582.96/873.72 = 486.48/x
  3. Step 3: Cross multiply
    582.96x = 873.72 × 486.48
  4. Step 4: Simplify right side
    582.96x = 425,047.31
  5. Step 5: Solve for x
    x = 425,047.31/582.96
  6. Step 6: Final answer
    x = 729.12

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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.