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Finding the Fourth Proportional to 433.51, 598.20 and 256.48

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Solution

The fourth proportional to 433.51, 598.20 and 256.48 is: 353.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.51 : 598.20 = 256.48 : x
  2. Step 2: Convert to fraction form
    433.51/598.20 = 256.48/x
  3. Step 3: Cross multiply
    433.51x = 598.20 × 256.48
  4. Step 4: Simplify right side
    433.51x = 153,426.34
  5. Step 5: Solve for x
    x = 153,426.34/433.51
  6. Step 6: Final answer
    x = 353.92

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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.