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Finding the Fourth Proportional to 596.40, 823.77 and 526.65

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Solution

The fourth proportional to 596.40, 823.77 and 526.65 is: 727.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.40 : 823.77 = 526.65 : x
  2. Step 2: Convert to fraction form
    596.40/823.77 = 526.65/x
  3. Step 3: Cross multiply
    596.40x = 823.77 × 526.65
  4. Step 4: Simplify right side
    596.40x = 433,838.47
  5. Step 5: Solve for x
    x = 433,838.47/596.40
  6. Step 6: Final answer
    x = 727.43

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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.