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Finding the Fourth Proportional to 561.30, 841.62 and 345.03

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Solution

The fourth proportional to 561.30, 841.62 and 345.03 is: 517.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.30 : 841.62 = 345.03 : x
  2. Step 2: Convert to fraction form
    561.30/841.62 = 345.03/x
  3. Step 3: Cross multiply
    561.30x = 841.62 × 345.03
  4. Step 4: Simplify right side
    561.30x = 290,384.15
  5. Step 5: Solve for x
    x = 290,384.15/561.30
  6. Step 6: Final answer
    x = 517.34

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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.