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Finding the Fourth Proportional to 948.85, 1,423.17 and 290.69

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Solution

The fourth proportional to 948.85, 1,423.17 and 290.69 is: 436.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.85 : 1,423.17 = 290.69 : x
  2. Step 2: Convert to fraction form
    948.85/1,423.17 = 290.69/x
  3. Step 3: Cross multiply
    948.85x = 1,423.17 × 290.69
  4. Step 4: Simplify right side
    948.85x = 413,699.51
  5. Step 5: Solve for x
    x = 413,699.51/948.85
  6. Step 6: Final answer
    x = 436.00

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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.