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Finding the Fourth Proportional to 707.50, 977.16 and 474.22

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Solution

The fourth proportional to 707.50, 977.16 and 474.22 is: 654.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.50 : 977.16 = 474.22 : x
  2. Step 2: Convert to fraction form
    707.50/977.16 = 474.22/x
  3. Step 3: Cross multiply
    707.50x = 977.16 × 474.22
  4. Step 4: Simplify right side
    707.50x = 463,388.82
  5. Step 5: Solve for x
    x = 463,388.82/707.50
  6. Step 6: Final answer
    x = 654.97

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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.