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Finding the Fourth Proportional to 460.03, 634.33 and 302.45

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Solution

The fourth proportional to 460.03, 634.33 and 302.45 is: 417.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.03 : 634.33 = 302.45 : x
  2. Step 2: Convert to fraction form
    460.03/634.33 = 302.45/x
  3. Step 3: Cross multiply
    460.03x = 634.33 × 302.45
  4. Step 4: Simplify right side
    460.03x = 191,853.94
  5. Step 5: Solve for x
    x = 191,853.94/460.03
  6. Step 6: Final answer
    x = 417.05

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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.