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Finding the Fourth Proportional to 526.30, 725.96 and 305.07

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Solution

The fourth proportional to 526.30, 725.96 and 305.07 is: 420.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.30 : 725.96 = 305.07 : x
  2. Step 2: Convert to fraction form
    526.30/725.96 = 305.07/x
  3. Step 3: Cross multiply
    526.30x = 725.96 × 305.07
  4. Step 4: Simplify right side
    526.30x = 221,466.66
  5. Step 5: Solve for x
    x = 221,466.66/526.30
  6. Step 6: Final answer
    x = 420.80

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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.