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Finding the Fourth Proportional to 487.10, 730.98 and 322.53

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Solution

The fourth proportional to 487.10, 730.98 and 322.53 is: 484.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.10 : 730.98 = 322.53 : x
  2. Step 2: Convert to fraction form
    487.10/730.98 = 322.53/x
  3. Step 3: Cross multiply
    487.10x = 730.98 × 322.53
  4. Step 4: Simplify right side
    487.10x = 235,762.98
  5. Step 5: Solve for x
    x = 235,762.98/487.10
  6. Step 6: Final answer
    x = 484.02

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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.