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Finding the Fourth Proportional to 433.74, 598.56 and 256.71

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Solution

The fourth proportional to 433.74, 598.56 and 256.71 is: 354.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.74 : 598.56 = 256.71 : x
  2. Step 2: Convert to fraction form
    433.74/598.56 = 256.71/x
  3. Step 3: Cross multiply
    433.74x = 598.56 × 256.71
  4. Step 4: Simplify right side
    433.74x = 153,656.34
  5. Step 5: Solve for x
    x = 153,656.34/433.74
  6. Step 6: Final answer
    x = 354.26

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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.