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Finding the Fourth Proportional to 471.55, 706.08 and 390.76

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Solution

The fourth proportional to 471.55, 706.08 and 390.76 is: 585.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.55 : 706.08 = 390.76 : x
  2. Step 2: Convert to fraction form
    471.55/706.08 = 390.76/x
  3. Step 3: Cross multiply
    471.55x = 706.08 × 390.76
  4. Step 4: Simplify right side
    471.55x = 275,907.82
  5. Step 5: Solve for x
    x = 275,907.82/471.55
  6. Step 6: Final answer
    x = 585.11

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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.