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Finding the Fourth Proportional to 605.80, 914.11 and 530.20

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Solution

The fourth proportional to 605.80, 914.11 and 530.20 is: 800.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.80 : 914.11 = 530.20 : x
  2. Step 2: Convert to fraction form
    605.80/914.11 = 530.20/x
  3. Step 3: Cross multiply
    605.80x = 914.11 × 530.20
  4. Step 4: Simplify right side
    605.80x = 484,661.12
  5. Step 5: Solve for x
    x = 484,661.12/605.80
  6. Step 6: Final answer
    x = 800.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.