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Finding the Fourth Proportional to 535.72, 802.88 and 304.52

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Solution

The fourth proportional to 535.72, 802.88 and 304.52 is: 456.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.72 : 802.88 = 304.52 : x
  2. Step 2: Convert to fraction form
    535.72/802.88 = 304.52/x
  3. Step 3: Cross multiply
    535.72x = 802.88 × 304.52
  4. Step 4: Simplify right side
    535.72x = 244,493.02
  5. Step 5: Solve for x
    x = 244,493.02/535.72
  6. Step 6: Final answer
    x = 456.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.