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Finding the Fourth Proportional to 401.58, 602.86 and 315.46

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Solution

The fourth proportional to 401.58, 602.86 and 315.46 is: 473.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.58 : 602.86 = 315.46 : x
  2. Step 2: Convert to fraction form
    401.58/602.86 = 315.46/x
  3. Step 3: Cross multiply
    401.58x = 602.86 × 315.46
  4. Step 4: Simplify right side
    401.58x = 190,178.22
  5. Step 5: Solve for x
    x = 190,178.22/401.58
  6. Step 6: Final answer
    x = 473.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.