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Finding the Fourth Proportional to 528.65, 729.41 and 307.56

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Solution

The fourth proportional to 528.65, 729.41 and 307.56 is: 424.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.65 : 729.41 = 307.56 : x
  2. Step 2: Convert to fraction form
    528.65/729.41 = 307.56/x
  3. Step 3: Cross multiply
    528.65x = 729.41 × 307.56
  4. Step 4: Simplify right side
    528.65x = 224,332.38
  5. Step 5: Solve for x
    x = 224,332.38/528.65
  6. Step 6: Final answer
    x = 424.35

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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.