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Finding the Fourth Proportional to 585.26, 873.32 and 533.51

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Solution

The fourth proportional to 585.26, 873.32 and 533.51 is: 796.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.26 : 873.32 = 533.51 : x
  2. Step 2: Convert to fraction form
    585.26/873.32 = 533.51/x
  3. Step 3: Cross multiply
    585.26x = 873.32 × 533.51
  4. Step 4: Simplify right side
    585.26x = 465,924.95
  5. Step 5: Solve for x
    x = 465,924.95/585.26
  6. Step 6: Final answer
    x = 796.10

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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.