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Finding the Fourth Proportional to 446.24, 615.35 and 302.22

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Solution

The fourth proportional to 446.24, 615.35 and 302.22 is: 416.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.24 : 615.35 = 302.22 : x
  2. Step 2: Convert to fraction form
    446.24/615.35 = 302.22/x
  3. Step 3: Cross multiply
    446.24x = 615.35 × 302.22
  4. Step 4: Simplify right side
    446.24x = 185,971.83
  5. Step 5: Solve for x
    x = 185,971.83/446.24
  6. Step 6: Final answer
    x = 416.75

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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.