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Finding the Fourth Proportional to 431.33, 595.76 and 404.19

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Solution

The fourth proportional to 431.33, 595.76 and 404.19 is: 558.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.33 : 595.76 = 404.19 : x
  2. Step 2: Convert to fraction form
    431.33/595.76 = 404.19/x
  3. Step 3: Cross multiply
    431.33x = 595.76 × 404.19
  4. Step 4: Simplify right side
    431.33x = 240,798.21
  5. Step 5: Solve for x
    x = 240,798.21/431.33
  6. Step 6: Final answer
    x = 558.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.