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Finding the Fourth Proportional to 528.84, 729.72 and 354.24

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Solution

The fourth proportional to 528.84, 729.72 and 354.24 is: 488.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.84 : 729.72 = 354.24 : x
  2. Step 2: Convert to fraction form
    528.84/729.72 = 354.24/x
  3. Step 3: Cross multiply
    528.84x = 729.72 × 354.24
  4. Step 4: Simplify right side
    528.84x = 258,496.01
  5. Step 5: Solve for x
    x = 258,496.01/528.84
  6. Step 6: Final answer
    x = 488.80

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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.