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Finding the Fourth Proportional to 433.65, 598.26 and 256.59

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Solution

The fourth proportional to 433.65, 598.26 and 256.59 is: 353.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.65 : 598.26 = 256.59 : x
  2. Step 2: Convert to fraction form
    433.65/598.26 = 256.59/x
  3. Step 3: Cross multiply
    433.65x = 598.26 × 256.59
  4. Step 4: Simplify right side
    433.65x = 153,507.53
  5. Step 5: Solve for x
    x = 153,507.53/433.65
  6. Step 6: Final answer
    x = 353.99

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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.