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Finding the Fourth Proportional to 528.90, 729.93 and 307.88

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Solution

The fourth proportional to 528.90, 729.93 and 307.88 is: 424.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.90 : 729.93 = 307.88 : x
  2. Step 2: Convert to fraction form
    528.90/729.93 = 307.88/x
  3. Step 3: Cross multiply
    528.90x = 729.93 × 307.88
  4. Step 4: Simplify right side
    528.90x = 224,727.97
  5. Step 5: Solve for x
    x = 224,727.97/528.90
  6. Step 6: Final answer
    x = 424.89

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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.