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Finding the Fourth Proportional to 585.14, 873.14 and 533.39

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Solution

The fourth proportional to 585.14, 873.14 and 533.39 is: 795.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.14 : 873.14 = 533.39 : x
  2. Step 2: Convert to fraction form
    585.14/873.14 = 533.39/x
  3. Step 3: Cross multiply
    585.14x = 873.14 × 533.39
  4. Step 4: Simplify right side
    585.14x = 465,717.11
  5. Step 5: Solve for x
    x = 465,717.11/585.14
  6. Step 6: Final answer
    x = 795.91

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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.