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Finding the Fourth Proportional to 596.48, 817.78 and 585.52

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Solution

The fourth proportional to 596.48, 817.78 and 585.52 is: 802.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.48 : 817.78 = 585.52 : x
  2. Step 2: Convert to fraction form
    596.48/817.78 = 585.52/x
  3. Step 3: Cross multiply
    596.48x = 817.78 × 585.52
  4. Step 4: Simplify right side
    596.48x = 478,826.55
  5. Step 5: Solve for x
    x = 478,826.55/596.48
  6. Step 6: Final answer
    x = 802.75

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.