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Finding the Fourth Proportional to 431.64, 643.80 and 404.28

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Solution

The fourth proportional to 431.64, 643.80 and 404.28 is: 602.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.64 : 643.80 = 404.28 : x
  2. Step 2: Convert to fraction form
    431.64/643.80 = 404.28/x
  3. Step 3: Cross multiply
    431.64x = 643.80 × 404.28
  4. Step 4: Simplify right side
    431.64x = 260,275.46
  5. Step 5: Solve for x
    x = 260,275.46/431.64
  6. Step 6: Final answer
    x = 602.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.