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Finding the Fourth Proportional to 535.86, 802.71 and 467.46

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Solution

The fourth proportional to 535.86, 802.71 and 467.46 is: 700.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.86 : 802.71 = 467.46 : x
  2. Step 2: Convert to fraction form
    535.86/802.71 = 467.46/x
  3. Step 3: Cross multiply
    535.86x = 802.71 × 467.46
  4. Step 4: Simplify right side
    535.86x = 375,234.82
  5. Step 5: Solve for x
    x = 375,234.82/535.86
  6. Step 6: Final answer
    x = 700.25

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