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Finding the Fourth Proportional to 665.19, 917.37 and 455.00

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Solution

The fourth proportional to 665.19, 917.37 and 455.00 is: 627.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.19 : 917.37 = 455.00 : x
  2. Step 2: Convert to fraction form
    665.19/917.37 = 455.00/x
  3. Step 3: Cross multiply
    665.19x = 917.37 × 455.00
  4. Step 4: Simplify right side
    665.19x = 417,398.76
  5. Step 5: Solve for x
    x = 417,398.76/665.19
  6. Step 6: Final answer
    x = 627.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.