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Finding the Fourth Proportional to 536.29, 740.25 and 315.32

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Solution

The fourth proportional to 536.29, 740.25 and 315.32 is: 435.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.29 : 740.25 = 315.32 : x
  2. Step 2: Convert to fraction form
    536.29/740.25 = 315.32/x
  3. Step 3: Cross multiply
    536.29x = 740.25 × 315.32
  4. Step 4: Simplify right side
    536.29x = 233,411.93
  5. Step 5: Solve for x
    x = 233,411.93/536.29
  6. Step 6: Final answer
    x = 435.24

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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.