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Finding the Fourth Proportional to 534.84, 802.32 and 210

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Solution

The fourth proportional to 534.84, 802.32 and 210 is: 315.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.84 : 802.32 = 210 : x
  2. Step 2: Convert to fraction form
    534.84/802.32 = 210/x
  3. Step 3: Cross multiply
    534.84x = 802.32 × 210
  4. Step 4: Simplify right side
    534.84x = 168,487.20
  5. Step 5: Solve for x
    x = 168,487.20/534.84
  6. Step 6: Final answer
    x = 315.02

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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.