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Finding the Fourth Proportional to 390.06, 539.05 and 320.01

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Solution

The fourth proportional to 390.06, 539.05 and 320.01 is: 442.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.06 : 539.05 = 320.01 : x
  2. Step 2: Convert to fraction form
    390.06/539.05 = 320.01/x
  3. Step 3: Cross multiply
    390.06x = 539.05 × 320.01
  4. Step 4: Simplify right side
    390.06x = 172,501.39
  5. Step 5: Solve for x
    x = 172,501.39/390.06
  6. Step 6: Final answer
    x = 442.24

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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.