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Finding the Fourth Proportional to 528.68, 729.62 and 307.70

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Solution

The fourth proportional to 528.68, 729.62 and 307.70 is: 424.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.68 : 729.62 = 307.70 : x
  2. Step 2: Convert to fraction form
    528.68/729.62 = 307.70/x
  3. Step 3: Cross multiply
    528.68x = 729.62 × 307.70
  4. Step 4: Simplify right side
    528.68x = 224,504.07
  5. Step 5: Solve for x
    x = 224,504.07/528.68
  6. Step 6: Final answer
    x = 424.65

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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.