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Finding the Fourth Proportional to 526.08, 726.21 and 368.73

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Solution

The fourth proportional to 526.08, 726.21 and 368.73 is: 509.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.08 : 726.21 = 368.73 : x
  2. Step 2: Convert to fraction form
    526.08/726.21 = 368.73/x
  3. Step 3: Cross multiply
    526.08x = 726.21 × 368.73
  4. Step 4: Simplify right side
    526.08x = 267,775.41
  5. Step 5: Solve for x
    x = 267,775.41/526.08
  6. Step 6: Final answer
    x = 509.00

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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.