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Finding the Fourth Proportional to 541.04, 746.35 and 364.04

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Solution

The fourth proportional to 541.04, 746.35 and 364.04 is: 502.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.04 : 746.35 = 364.04 : x
  2. Step 2: Convert to fraction form
    541.04/746.35 = 364.04/x
  3. Step 3: Cross multiply
    541.04x = 746.35 × 364.04
  4. Step 4: Simplify right side
    541.04x = 271,701.25
  5. Step 5: Solve for x
    x = 271,701.25/541.04
  6. Step 6: Final answer
    x = 502.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.