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Finding the Fourth Proportional to 528.84, 729.66 and 332.28

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Solution

The fourth proportional to 528.84, 729.66 and 332.28 is: 458.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.84 : 729.66 = 332.28 : x
  2. Step 2: Convert to fraction form
    528.84/729.66 = 332.28/x
  3. Step 3: Cross multiply
    528.84x = 729.66 × 332.28
  4. Step 4: Simplify right side
    528.84x = 242,451.42
  5. Step 5: Solve for x
    x = 242,451.42/528.84
  6. Step 6: Final answer
    x = 458.46

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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.