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Finding the Fourth Proportional to 536.24, 740.30 and 315.19

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Solution

The fourth proportional to 536.24, 740.30 and 315.19 is: 435.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.24 : 740.30 = 315.19 : x
  2. Step 2: Convert to fraction form
    536.24/740.30 = 315.19/x
  3. Step 3: Cross multiply
    536.24x = 740.30 × 315.19
  4. Step 4: Simplify right side
    536.24x = 233,335.16
  5. Step 5: Solve for x
    x = 233,335.16/536.24
  6. Step 6: Final answer
    x = 435.13

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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.