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Finding the Fourth Proportional to 535.02, 802.89 and 498.30

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Solution

The fourth proportional to 535.02, 802.89 and 498.30 is: 747.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.02 : 802.89 = 498.30 : x
  2. Step 2: Convert to fraction form
    535.02/802.89 = 498.30/x
  3. Step 3: Cross multiply
    535.02x = 802.89 × 498.30
  4. Step 4: Simplify right side
    535.02x = 400,080.09
  5. Step 5: Solve for x
    x = 400,080.09/535.02
  6. Step 6: Final answer
    x = 747.79

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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.