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Finding the Fourth Proportional to 526.68, 726.95 and 360.96

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Solution

The fourth proportional to 526.68, 726.95 and 360.96 is: 498.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.68 : 726.95 = 360.96 : x
  2. Step 2: Convert to fraction form
    526.68/726.95 = 360.96/x
  3. Step 3: Cross multiply
    526.68x = 726.95 × 360.96
  4. Step 4: Simplify right side
    526.68x = 262,398.07
  5. Step 5: Solve for x
    x = 262,398.07/526.68
  6. Step 6: Final answer
    x = 498.21

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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.