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Finding the Fourth Proportional to 585.07, 806.83 and 375.01

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Solution

The fourth proportional to 585.07, 806.83 and 375.01 is: 517.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.07 : 806.83 = 375.01 : x
  2. Step 2: Convert to fraction form
    585.07/806.83 = 375.01/x
  3. Step 3: Cross multiply
    585.07x = 806.83 × 375.01
  4. Step 4: Simplify right side
    585.07x = 302,569.32
  5. Step 5: Solve for x
    x = 302,569.32/585.07
  6. Step 6: Final answer
    x = 517.15

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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.