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Finding the Fourth Proportional to 527.10, 726.73 and 433.34

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Solution

The fourth proportional to 527.10, 726.73 and 433.34 is: 597.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.10 : 726.73 = 433.34 : x
  2. Step 2: Convert to fraction form
    527.10/726.73 = 433.34/x
  3. Step 3: Cross multiply
    527.10x = 726.73 × 433.34
  4. Step 4: Simplify right side
    527.10x = 314,921.18
  5. Step 5: Solve for x
    x = 314,921.18/527.10
  6. Step 6: Final answer
    x = 597.46

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1.5x scale

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.