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Finding the Fourth Proportional to 433.65, 598.42 and 256.62

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Solution

The fourth proportional to 433.65, 598.42 and 256.62 is: 354.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.65 : 598.42 = 256.62 : x
  2. Step 2: Convert to fraction form
    433.65/598.42 = 256.62/x
  3. Step 3: Cross multiply
    433.65x = 598.42 × 256.62
  4. Step 4: Simplify right side
    433.65x = 153,569.11
  5. Step 5: Solve for x
    x = 153,569.11/433.65
  6. Step 6: Final answer
    x = 354.13

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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.