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Finding the Fourth Proportional to 543.16, 810.41 and 530.70

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Solution

The fourth proportional to 543.16, 810.41 and 530.70 is: 791.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.16 : 810.41 = 530.70 : x
  2. Step 2: Convert to fraction form
    543.16/810.41 = 530.70/x
  3. Step 3: Cross multiply
    543.16x = 810.41 × 530.70
  4. Step 4: Simplify right side
    543.16x = 430,084.59
  5. Step 5: Solve for x
    x = 430,084.59/543.16
  6. Step 6: Final answer
    x = 791.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.