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Finding the Fourth Proportional to 585.95, 874.43 and 536.29

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Solution

The fourth proportional to 585.95, 874.43 and 536.29 is: 800.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.95 : 874.43 = 536.29 : x
  2. Step 2: Convert to fraction form
    585.95/874.43 = 536.29/x
  3. Step 3: Cross multiply
    585.95x = 874.43 × 536.29
  4. Step 4: Simplify right side
    585.95x = 468,945.21
  5. Step 5: Solve for x
    x = 468,945.21/585.95
  6. Step 6: Final answer
    x = 800.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.