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Finding the Fourth Proportional to 479.68, 661.43 and 433.04

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Solution

The fourth proportional to 479.68, 661.43 and 433.04 is: 597.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.68 : 661.43 = 433.04 : x
  2. Step 2: Convert to fraction form
    479.68/661.43 = 433.04/x
  3. Step 3: Cross multiply
    479.68x = 661.43 × 433.04
  4. Step 4: Simplify right side
    479.68x = 286,423.42
  5. Step 5: Solve for x
    x = 286,423.42/479.68
  6. Step 6: Final answer
    x = 597.12

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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.