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Finding the Fourth Proportional to 380.94, 526.26 and 302.00

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Solution

The fourth proportional to 380.94, 526.26 and 302.00 is: 417.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.94 : 526.26 = 302.00 : x
  2. Step 2: Convert to fraction form
    380.94/526.26 = 302.00/x
  3. Step 3: Cross multiply
    380.94x = 526.26 × 302.00
  4. Step 4: Simplify right side
    380.94x = 158,926.47
  5. Step 5: Solve for x
    x = 158,926.47/380.94
  6. Step 6: Final answer
    x = 417.20

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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.