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Finding the Fourth Proportional to 526.55, 726.10 and 360.77

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Solution

The fourth proportional to 526.55, 726.10 and 360.77 is: 497.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.55 : 726.10 = 360.77 : x
  2. Step 2: Convert to fraction form
    526.55/726.10 = 360.77/x
  3. Step 3: Cross multiply
    526.55x = 726.10 × 360.77
  4. Step 4: Simplify right side
    526.55x = 261,950.56
  5. Step 5: Solve for x
    x = 261,950.56/526.55
  6. Step 6: Final answer
    x = 497.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.