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Finding the Fourth Proportional to 442.34, 659.07 and 417.50

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Solution

The fourth proportional to 442.34, 659.07 and 417.50 is: 622.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.34 : 659.07 = 417.50 : x
  2. Step 2: Convert to fraction form
    442.34/659.07 = 417.50/x
  3. Step 3: Cross multiply
    442.34x = 659.07 × 417.50
  4. Step 4: Simplify right side
    442.34x = 275,159.64
  5. Step 5: Solve for x
    x = 275,159.64/442.34
  6. Step 6: Final answer
    x = 622.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.