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Finding the Fourth Proportional to 846.64, 1,269.10 and 352.38

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Solution

The fourth proportional to 846.64, 1,269.10 and 352.38 is: 528.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.64 : 1,269.10 = 352.38 : x
  2. Step 2: Convert to fraction form
    846.64/1,269.10 = 352.38/x
  3. Step 3: Cross multiply
    846.64x = 1,269.10 × 352.38
  4. Step 4: Simplify right side
    846.64x = 447,205.46
  5. Step 5: Solve for x
    x = 447,205.46/846.64
  6. Step 6: Final answer
    x = 528.21

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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.