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Finding the Fourth Proportional to 508.06, 701.62 and 433.94

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Solution

The fourth proportional to 508.06, 701.62 and 433.94 is: 599.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.06 : 701.62 = 433.94 : x
  2. Step 2: Convert to fraction form
    508.06/701.62 = 433.94/x
  3. Step 3: Cross multiply
    508.06x = 701.62 × 433.94
  4. Step 4: Simplify right side
    508.06x = 304,461.65
  5. Step 5: Solve for x
    x = 304,461.65/508.06
  6. Step 6: Final answer
    x = 599.27

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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.