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Finding the Fourth Proportional to 527.84, 729.16 and 454.96

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Solution

The fourth proportional to 527.84, 729.16 and 454.96 is: 628.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.84 : 729.16 = 454.96 : x
  2. Step 2: Convert to fraction form
    527.84/729.16 = 454.96/x
  3. Step 3: Cross multiply
    527.84x = 729.16 × 454.96
  4. Step 4: Simplify right side
    527.84x = 331,738.63
  5. Step 5: Solve for x
    x = 331,738.63/527.84
  6. Step 6: Final answer
    x = 628.48

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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.