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Finding the Fourth Proportional to 526.54, 726.90 and 360.88

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Solution

The fourth proportional to 526.54, 726.90 and 360.88 is: 498.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.54 : 726.90 = 360.88 : x
  2. Step 2: Convert to fraction form
    526.54/726.90 = 360.88/x
  3. Step 3: Cross multiply
    526.54x = 726.90 × 360.88
  4. Step 4: Simplify right side
    526.54x = 262,323.67
  5. Step 5: Solve for x
    x = 262,323.67/526.54
  6. Step 6: Final answer
    x = 498.20

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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.