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Finding the Fourth Proportional to 585.24, 809.31 and 526.11

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Solution

The fourth proportional to 585.24, 809.31 and 526.11 is: 727.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.24 : 809.31 = 526.11 : x
  2. Step 2: Convert to fraction form
    585.24/809.31 = 526.11/x
  3. Step 3: Cross multiply
    585.24x = 809.31 × 526.11
  4. Step 4: Simplify right side
    585.24x = 425,786.08
  5. Step 5: Solve for x
    x = 425,786.08/585.24
  6. Step 6: Final answer
    x = 727.54

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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.