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Finding the Fourth Proportional to 390.08, 534.74 and 383.10

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Solution

The fourth proportional to 390.08, 534.74 and 383.10 is: 525.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.08 : 534.74 = 383.10 : x
  2. Step 2: Convert to fraction form
    390.08/534.74 = 383.10/x
  3. Step 3: Cross multiply
    390.08x = 534.74 × 383.10
  4. Step 4: Simplify right side
    390.08x = 204,858.89
  5. Step 5: Solve for x
    x = 204,858.89/390.08
  6. Step 6: Final answer
    x = 525.17

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.