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Finding the Fourth Proportional to 790.16, 1,184.88 and 357.04

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Solution

The fourth proportional to 790.16, 1,184.88 and 357.04 is: 535.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.16 : 1,184.88 = 357.04 : x
  2. Step 2: Convert to fraction form
    790.16/1,184.88 = 357.04/x
  3. Step 3: Cross multiply
    790.16x = 1,184.88 × 357.04
  4. Step 4: Simplify right side
    790.16x = 423,049.56
  5. Step 5: Solve for x
    x = 423,049.56/790.16
  6. Step 6: Final answer
    x = 535.40

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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.