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Finding the Fourth Proportional to 526.09, 726 and 305.11

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Solution

The fourth proportional to 526.09, 726 and 305.11 is: 421.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.09 : 726 = 305.11 : x
  2. Step 2: Convert to fraction form
    526.09/726 = 305.11/x
  3. Step 3: Cross multiply
    526.09x = 726 × 305.11
  4. Step 4: Simplify right side
    526.09x = 221,509.86
  5. Step 5: Solve for x
    x = 221,509.86/526.09
  6. Step 6: Final answer
    x = 421.05

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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.