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Finding the Fourth Proportional to 585.93, 797.75 and 584.10

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Solution

The fourth proportional to 585.93, 797.75 and 584.10 is: 795.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.93 : 797.75 = 584.10 : x
  2. Step 2: Convert to fraction form
    585.93/797.75 = 584.10/x
  3. Step 3: Cross multiply
    585.93x = 797.75 × 584.10
  4. Step 4: Simplify right side
    585.93x = 465,962.85
  5. Step 5: Solve for x
    x = 465,962.85/585.93
  6. Step 6: Final answer
    x = 795.25

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.