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Finding the Fourth Proportional to 555.58, 832.15 and 440.16

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Solution

The fourth proportional to 555.58, 832.15 and 440.16 is: 659.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.58 : 832.15 = 440.16 : x
  2. Step 2: Convert to fraction form
    555.58/832.15 = 440.16/x
  3. Step 3: Cross multiply
    555.58x = 832.15 × 440.16
  4. Step 4: Simplify right side
    555.58x = 366,279.14
  5. Step 5: Solve for x
    x = 366,279.14/555.58
  6. Step 6: Final answer
    x = 659.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.