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Finding the Fourth Proportional to 536.04, 739.59 and 314.95

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Solution

The fourth proportional to 536.04, 739.59 and 314.95 is: 434.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.04 : 739.59 = 314.95 : x
  2. Step 2: Convert to fraction form
    536.04/739.59 = 314.95/x
  3. Step 3: Cross multiply
    536.04x = 739.59 × 314.95
  4. Step 4: Simplify right side
    536.04x = 232,935.48
  5. Step 5: Solve for x
    x = 232,935.48/536.04
  6. Step 6: Final answer
    x = 434.55

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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.