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Finding the Fourth Proportional to 665.13, 917.93 and 370.40

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Solution

The fourth proportional to 665.13, 917.93 and 370.40 is: 511.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.13 : 917.93 = 370.40 : x
  2. Step 2: Convert to fraction form
    665.13/917.93 = 370.40/x
  3. Step 3: Cross multiply
    665.13x = 917.93 × 370.40
  4. Step 4: Simplify right side
    665.13x = 339,994.83
  5. Step 5: Solve for x
    x = 339,994.83/665.13
  6. Step 6: Final answer
    x = 511.17

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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.