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Finding the Fourth Proportional to 641.47, 885.45 and 405.58

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Solution

The fourth proportional to 641.47, 885.45 and 405.58 is: 559.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.47 : 885.45 = 405.58 : x
  2. Step 2: Convert to fraction form
    641.47/885.45 = 405.58/x
  3. Step 3: Cross multiply
    641.47x = 885.45 × 405.58
  4. Step 4: Simplify right side
    641.47x = 359,120.81
  5. Step 5: Solve for x
    x = 359,120.81/641.47
  6. Step 6: Final answer
    x = 559.84

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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.