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Finding the Fourth Proportional to 541.32, 746.76 and 366.36

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Solution

The fourth proportional to 541.32, 746.76 and 366.36 is: 505.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.32 : 746.76 = 366.36 : x
  2. Step 2: Convert to fraction form
    541.32/746.76 = 366.36/x
  3. Step 3: Cross multiply
    541.32x = 746.76 × 366.36
  4. Step 4: Simplify right side
    541.32x = 273,582.99
  5. Step 5: Solve for x
    x = 273,582.99/541.32
  6. Step 6: Final answer
    x = 505.40

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1.5x scale

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.