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Finding the Fourth Proportional to 535.16, 802.46 and 291.62

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Solution

The fourth proportional to 535.16, 802.46 and 291.62 is: 437.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.16 : 802.46 = 291.62 : x
  2. Step 2: Convert to fraction form
    535.16/802.46 = 291.62/x
  3. Step 3: Cross multiply
    535.16x = 802.46 × 291.62
  4. Step 4: Simplify right side
    535.16x = 234,007.91
  5. Step 5: Solve for x
    x = 234,007.91/535.16
  6. Step 6: Final answer
    x = 437.27

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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.