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Finding the Fourth Proportional to 637.04, 880.74 and 442.01

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Solution

The fourth proportional to 637.04, 880.74 and 442.01 is: 611.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.04 : 880.74 = 442.01 : x
  2. Step 2: Convert to fraction form
    637.04/880.74 = 442.01/x
  3. Step 3: Cross multiply
    637.04x = 880.74 × 442.01
  4. Step 4: Simplify right side
    637.04x = 389,291.48
  5. Step 5: Solve for x
    x = 389,291.48/637.04
  6. Step 6: Final answer
    x = 611.10

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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.