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Finding the Fourth Proportional to 569.16, 849.45 and 545.40

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Solution

The fourth proportional to 569.16, 849.45 and 545.40 is: 813.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.16 : 849.45 = 545.40 : x
  2. Step 2: Convert to fraction form
    569.16/849.45 = 545.40/x
  3. Step 3: Cross multiply
    569.16x = 849.45 × 545.40
  4. Step 4: Simplify right side
    569.16x = 463,290.03
  5. Step 5: Solve for x
    x = 463,290.03/569.16
  6. Step 6: Final answer
    x = 813.99

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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.