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Finding the Fourth Proportional to 501.04, 690.66 and 374.95

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Solution

The fourth proportional to 501.04, 690.66 and 374.95 is: 516.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.04 : 690.66 = 374.95 : x
  2. Step 2: Convert to fraction form
    501.04/690.66 = 374.95/x
  3. Step 3: Cross multiply
    501.04x = 690.66 × 374.95
  4. Step 4: Simplify right side
    501.04x = 258,962.97
  5. Step 5: Solve for x
    x = 258,962.97/501.04
  6. Step 6: Final answer
    x = 516.85

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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.