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Finding the Fourth Proportional to 541.64, 810.90 and 412.16

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Solution

The fourth proportional to 541.64, 810.90 and 412.16 is: 617.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.64 : 810.90 = 412.16 : x
  2. Step 2: Convert to fraction form
    541.64/810.90 = 412.16/x
  3. Step 3: Cross multiply
    541.64x = 810.90 × 412.16
  4. Step 4: Simplify right side
    541.64x = 334,216.49
  5. Step 5: Solve for x
    x = 334,216.49/541.64
  6. Step 6: Final answer
    x = 617.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.