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Finding the Fourth Proportional to 584.73, 806.70 and 407.65

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Solution

The fourth proportional to 584.73, 806.70 and 407.65 is: 562.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.73 : 806.70 = 407.65 : x
  2. Step 2: Convert to fraction form
    584.73/806.70 = 407.65/x
  3. Step 3: Cross multiply
    584.73x = 806.70 × 407.65
  4. Step 4: Simplify right side
    584.73x = 328,851.26
  5. Step 5: Solve for x
    x = 328,851.26/584.73
  6. Step 6: Final answer
    x = 562.40

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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.