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Finding the Fourth Proportional to 526.42, 726.42 and 305.34

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Solution

The fourth proportional to 526.42, 726.42 and 305.34 is: 421.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.42 : 726.42 = 305.34 : x
  2. Step 2: Convert to fraction form
    526.42/726.42 = 305.34/x
  3. Step 3: Cross multiply
    526.42x = 726.42 × 305.34
  4. Step 4: Simplify right side
    526.42x = 221,805.08
  5. Step 5: Solve for x
    x = 221,805.08/526.42
  6. Step 6: Final answer
    x = 421.35

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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.