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Finding the Fourth Proportional to 520.74, 719.66 and 427.34

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Solution

The fourth proportional to 520.74, 719.66 and 427.34 is: 590.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.74 : 719.66 = 427.34 : x
  2. Step 2: Convert to fraction form
    520.74/719.66 = 427.34/x
  3. Step 3: Cross multiply
    520.74x = 719.66 × 427.34
  4. Step 4: Simplify right side
    520.74x = 307,539.50
  5. Step 5: Solve for x
    x = 307,539.50/520.74
  6. Step 6: Final answer
    x = 590.58

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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.