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Finding the Fourth Proportional to 536.29, 740.02 and 312.18

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Solution

The fourth proportional to 536.29, 740.02 and 312.18 is: 430.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.29 : 740.02 = 312.18 : x
  2. Step 2: Convert to fraction form
    536.29/740.02 = 312.18/x
  3. Step 3: Cross multiply
    536.29x = 740.02 × 312.18
  4. Step 4: Simplify right side
    536.29x = 231,019.44
  5. Step 5: Solve for x
    x = 231,019.44/536.29
  6. Step 6: Final answer
    x = 430.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.