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Finding the Fourth Proportional to 474.15, 652.14 and 384.51

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Solution

The fourth proportional to 474.15, 652.14 and 384.51 is: 528.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.15 : 652.14 = 384.51 : x
  2. Step 2: Convert to fraction form
    474.15/652.14 = 384.51/x
  3. Step 3: Cross multiply
    474.15x = 652.14 × 384.51
  4. Step 4: Simplify right side
    474.15x = 250,754.35
  5. Step 5: Solve for x
    x = 250,754.35/474.15
  6. Step 6: Final answer
    x = 528.85

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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.