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Finding the Fourth Proportional to 700.16, 1,049.70 and 353.64

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Solution

The fourth proportional to 700.16, 1,049.70 and 353.64 is: 530.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.16 : 1,049.70 = 353.64 : x
  2. Step 2: Convert to fraction form
    700.16/1,049.70 = 353.64/x
  3. Step 3: Cross multiply
    700.16x = 1,049.70 × 353.64
  4. Step 4: Simplify right side
    700.16x = 371,215.91
  5. Step 5: Solve for x
    x = 371,215.91/700.16
  6. Step 6: Final answer
    x = 530.19

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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.