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Finding the Fourth Proportional to 433.88, 595.06 and 416.24

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Solution

The fourth proportional to 433.88, 595.06 and 416.24 is: 570.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.88 : 595.06 = 416.24 : x
  2. Step 2: Convert to fraction form
    433.88/595.06 = 416.24/x
  3. Step 3: Cross multiply
    433.88x = 595.06 × 416.24
  4. Step 4: Simplify right side
    433.88x = 247,687.77
  5. Step 5: Solve for x
    x = 247,687.77/433.88
  6. Step 6: Final answer
    x = 570.87

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.