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Finding the Fourth Proportional to 613.46, 844.06 and 530.30

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Solution

The fourth proportional to 613.46, 844.06 and 530.30 is: 729.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.46 : 844.06 = 530.30 : x
  2. Step 2: Convert to fraction form
    613.46/844.06 = 530.30/x
  3. Step 3: Cross multiply
    613.46x = 844.06 × 530.30
  4. Step 4: Simplify right side
    613.46x = 447,605.02
  5. Step 5: Solve for x
    x = 447,605.02/613.46
  6. Step 6: Final answer
    x = 729.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.