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Finding the Fourth Proportional to 565.18, 841.80 and 546.82

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Solution

The fourth proportional to 565.18, 841.80 and 546.82 is: 814.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.18 : 841.80 = 546.82 : x
  2. Step 2: Convert to fraction form
    565.18/841.80 = 546.82/x
  3. Step 3: Cross multiply
    565.18x = 841.80 × 546.82
  4. Step 4: Simplify right side
    565.18x = 460,313.08
  5. Step 5: Solve for x
    x = 460,313.08/565.18
  6. Step 6: Final answer
    x = 814.45

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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.