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Finding the Fourth Proportional to 538.29, 807.59 and 310.13

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Solution

The fourth proportional to 538.29, 807.59 and 310.13 is: 465.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.29 : 807.59 = 310.13 : x
  2. Step 2: Convert to fraction form
    538.29/807.59 = 310.13/x
  3. Step 3: Cross multiply
    538.29x = 807.59 × 310.13
  4. Step 4: Simplify right side
    538.29x = 250,457.89
  5. Step 5: Solve for x
    x = 250,457.89/538.29
  6. Step 6: Final answer
    x = 465.28

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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.