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Finding the Fourth Proportional to 584.46, 807.31 and 436.83

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Solution

The fourth proportional to 584.46, 807.31 and 436.83 is: 603.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.46 : 807.31 = 436.83 : x
  2. Step 2: Convert to fraction form
    584.46/807.31 = 436.83/x
  3. Step 3: Cross multiply
    584.46x = 807.31 × 436.83
  4. Step 4: Simplify right side
    584.46x = 352,657.23
  5. Step 5: Solve for x
    x = 352,657.23/584.46
  6. Step 6: Final answer
    x = 603.39

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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.