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Finding the Fourth Proportional to 665.11, 917.58 and 429.01

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Solution

The fourth proportional to 665.11, 917.58 and 429.01 is: 591.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.11 : 917.58 = 429.01 : x
  2. Step 2: Convert to fraction form
    665.11/917.58 = 429.01/x
  3. Step 3: Cross multiply
    665.11x = 917.58 × 429.01
  4. Step 4: Simplify right side
    665.11x = 393,644.26
  5. Step 5: Solve for x
    x = 393,644.26/665.11
  6. Step 6: Final answer
    x = 591.85

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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.