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Finding the Fourth Proportional to 504.10, 695.62 and 280.01

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Solution

The fourth proportional to 504.10, 695.62 and 280.01 is: 386.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.10 : 695.62 = 280.01 : x
  2. Step 2: Convert to fraction form
    504.10/695.62 = 280.01/x
  3. Step 3: Cross multiply
    504.10x = 695.62 × 280.01
  4. Step 4: Simplify right side
    504.10x = 194,782.30
  5. Step 5: Solve for x
    x = 194,782.30/504.10
  6. Step 6: Final answer
    x = 386.39

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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.