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Finding the Fourth Proportional to 535.13, 802.15 and 210.05

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Solution

The fourth proportional to 535.13, 802.15 and 210.05 is: 314.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.13 : 802.15 = 210.05 : x
  2. Step 2: Convert to fraction form
    535.13/802.15 = 210.05/x
  3. Step 3: Cross multiply
    535.13x = 802.15 × 210.05
  4. Step 4: Simplify right side
    535.13x = 168,491.61
  5. Step 5: Solve for x
    x = 168,491.61/535.13
  6. Step 6: Final answer
    x = 314.86

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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.