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Finding the Fourth Proportional to 427.74, 590.01 and 362.16

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Solution

The fourth proportional to 427.74, 590.01 and 362.16 is: 499.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.74 : 590.01 = 362.16 : x
  2. Step 2: Convert to fraction form
    427.74/590.01 = 362.16/x
  3. Step 3: Cross multiply
    427.74x = 590.01 × 362.16
  4. Step 4: Simplify right side
    427.74x = 213,678.02
  5. Step 5: Solve for x
    x = 213,678.02/427.74
  6. Step 6: Final answer
    x = 499.55

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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.