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Finding the Fourth Proportional to 360.08, 496.74 and 346.11

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Solution

The fourth proportional to 360.08, 496.74 and 346.11 is: 477.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.08 : 496.74 = 346.11 : x
  2. Step 2: Convert to fraction form
    360.08/496.74 = 346.11/x
  3. Step 3: Cross multiply
    360.08x = 496.74 × 346.11
  4. Step 4: Simplify right side
    360.08x = 171,925.10
  5. Step 5: Solve for x
    x = 171,925.10/360.08
  6. Step 6: Final answer
    x = 477.46

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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.