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Finding the Fourth Proportional to 528.70, 729.72 and 307.64

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Solution

The fourth proportional to 528.70, 729.72 and 307.64 is: 424.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.70 : 729.72 = 307.64 : x
  2. Step 2: Convert to fraction form
    528.70/729.72 = 307.64/x
  3. Step 3: Cross multiply
    528.70x = 729.72 × 307.64
  4. Step 4: Simplify right side
    528.70x = 224,491.06
  5. Step 5: Solve for x
    x = 224,491.06/528.70
  6. Step 6: Final answer
    x = 424.61

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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.