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Finding the Fourth Proportional to 526.81, 726.98 and 317.11

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Solution

The fourth proportional to 526.81, 726.98 and 317.11 is: 437.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.81 : 726.98 = 317.11 : x
  2. Step 2: Convert to fraction form
    526.81/726.98 = 317.11/x
  3. Step 3: Cross multiply
    526.81x = 726.98 × 317.11
  4. Step 4: Simplify right side
    526.81x = 230,532.63
  5. Step 5: Solve for x
    x = 230,532.63/526.81
  6. Step 6: Final answer
    x = 437.60

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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.