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Finding the Fourth Proportional to 534.64, 802.14 and 210.01

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Solution

The fourth proportional to 534.64, 802.14 and 210.01 is: 315.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.64 : 802.14 = 210.01 : x
  2. Step 2: Convert to fraction form
    534.64/802.14 = 210.01/x
  3. Step 3: Cross multiply
    534.64x = 802.14 × 210.01
  4. Step 4: Simplify right side
    534.64x = 168,457.42
  5. Step 5: Solve for x
    x = 168,457.42/534.64
  6. Step 6: Final answer
    x = 315.09

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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.