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Finding the Fourth Proportional to 700.72, 1,050.17 and 310.16

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Solution

The fourth proportional to 700.72, 1,050.17 and 310.16 is: 464.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.72 : 1,050.17 = 310.16 : x
  2. Step 2: Convert to fraction form
    700.72/1,050.17 = 310.16/x
  3. Step 3: Cross multiply
    700.72x = 1,050.17 × 310.16
  4. Step 4: Simplify right side
    700.72x = 325,721.80
  5. Step 5: Solve for x
    x = 325,721.80/700.72
  6. Step 6: Final answer
    x = 464.84

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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.