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Finding the Fourth Proportional to 407.40, 562.01 and 333.59

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Solution

The fourth proportional to 407.40, 562.01 and 333.59 is: 460.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.40 : 562.01 = 333.59 : x
  2. Step 2: Convert to fraction form
    407.40/562.01 = 333.59/x
  3. Step 3: Cross multiply
    407.40x = 562.01 × 333.59
  4. Step 4: Simplify right side
    407.40x = 187,483.99
  5. Step 5: Solve for x
    x = 187,483.99/407.40
  6. Step 6: Final answer
    x = 460.19

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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.