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Finding the Fourth Proportional to 531.83, 732.18 and 419.59

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Solution

The fourth proportional to 531.83, 732.18 and 419.59 is: 577.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.83 : 732.18 = 419.59 : x
  2. Step 2: Convert to fraction form
    531.83/732.18 = 419.59/x
  3. Step 3: Cross multiply
    531.83x = 732.18 × 419.59
  4. Step 4: Simplify right side
    531.83x = 307,213.58
  5. Step 5: Solve for x
    x = 307,213.58/531.83
  6. Step 6: Final answer
    x = 577.66

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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.