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Finding the Fourth Proportional to 536.23, 740.10 and 315.37

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Solution

The fourth proportional to 536.23, 740.10 and 315.37 is: 435.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.23 : 740.10 = 315.37 : x
  2. Step 2: Convert to fraction form
    536.23/740.10 = 315.37/x
  3. Step 3: Cross multiply
    536.23x = 740.10 × 315.37
  4. Step 4: Simplify right side
    536.23x = 233,405.34
  5. Step 5: Solve for x
    x = 233,405.34/536.23
  6. Step 6: Final answer
    x = 435.27

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