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Finding the Fourth Proportional to 526.83, 726.46 and 369.42

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Solution

The fourth proportional to 526.83, 726.46 and 369.42 is: 509.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.83 : 726.46 = 369.42 : x
  2. Step 2: Convert to fraction form
    526.83/726.46 = 369.42/x
  3. Step 3: Cross multiply
    526.83x = 726.46 × 369.42
  4. Step 4: Simplify right side
    526.83x = 268,368.85
  5. Step 5: Solve for x
    x = 268,368.85/526.83
  6. Step 6: Final answer
    x = 509.40

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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.