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Finding the Fourth Proportional to 944.67, 1,417.32 and 328.53

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Solution

The fourth proportional to 944.67, 1,417.32 and 328.53 is: 492.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.67 : 1,417.32 = 328.53 : x
  2. Step 2: Convert to fraction form
    944.67/1,417.32 = 328.53/x
  3. Step 3: Cross multiply
    944.67x = 1,417.32 × 328.53
  4. Step 4: Simplify right side
    944.67x = 465,632.14
  5. Step 5: Solve for x
    x = 465,632.14/944.67
  6. Step 6: Final answer
    x = 492.90

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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.