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Finding the Fourth Proportional to 526.14, 725.92 and 305.14

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Solution

The fourth proportional to 526.14, 725.92 and 305.14 is: 421.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.14 : 725.92 = 305.14 : x
  2. Step 2: Convert to fraction form
    526.14/725.92 = 305.14/x
  3. Step 3: Cross multiply
    526.14x = 725.92 × 305.14
  4. Step 4: Simplify right side
    526.14x = 221,507.23
  5. Step 5: Solve for x
    x = 221,507.23/526.14
  6. Step 6: Final answer
    x = 421.00

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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.