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Finding the Fourth Proportional to 563.32, 837.59 and 541.45

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Solution

The fourth proportional to 563.32, 837.59 and 541.45 is: 805.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.32 : 837.59 = 541.45 : x
  2. Step 2: Convert to fraction form
    563.32/837.59 = 541.45/x
  3. Step 3: Cross multiply
    563.32x = 837.59 × 541.45
  4. Step 4: Simplify right side
    563.32x = 453,513.11
  5. Step 5: Solve for x
    x = 453,513.11/563.32
  6. Step 6: Final answer
    x = 805.07

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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.