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Finding the Fourth Proportional to 534.50, 802.14 and 300.00

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Solution

The fourth proportional to 534.50, 802.14 and 300.00 is: 450.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.50 : 802.14 = 300.00 : x
  2. Step 2: Convert to fraction form
    534.50/802.14 = 300.00/x
  3. Step 3: Cross multiply
    534.50x = 802.14 × 300.00
  4. Step 4: Simplify right side
    534.50x = 240,643.88
  5. Step 5: Solve for x
    x = 240,643.88/534.50
  6. Step 6: Final answer
    x = 450.22

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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.