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Finding the Fourth Proportional to 838.42, 1,157.00 and 465.38

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Solution

The fourth proportional to 838.42, 1,157.00 and 465.38 is: 642.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.42 : 1,157.00 = 465.38 : x
  2. Step 2: Convert to fraction form
    838.42/1,157.00 = 465.38/x
  3. Step 3: Cross multiply
    838.42x = 1,157.00 × 465.38
  4. Step 4: Simplify right side
    838.42x = 538,443.50
  5. Step 5: Solve for x
    x = 538,443.50/838.42
  6. Step 6: Final answer
    x = 642.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.