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Finding the Fourth Proportional to 838.04, 1,256.70 and 290.14

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Solution

The fourth proportional to 838.04, 1,256.70 and 290.14 is: 435.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.04 : 1,256.70 = 290.14 : x
  2. Step 2: Convert to fraction form
    838.04/1,256.70 = 290.14/x
  3. Step 3: Cross multiply
    838.04x = 1,256.70 × 290.14
  4. Step 4: Simplify right side
    838.04x = 364,615.25
  5. Step 5: Solve for x
    x = 364,615.25/838.04
  6. Step 6: Final answer
    x = 435.08

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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.