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Finding the Fourth Proportional to 504, 695.22 and 464.82

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Solution

The fourth proportional to 504, 695.22 and 464.82 is: 641.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    504 : 695.22 = 464.82 : x
  2. Step 2: Convert to fraction form
    504/695.22 = 464.82/x
  3. Step 3: Cross multiply
    504x = 695.22 × 464.82
  4. Step 4: Simplify right side
    504x = 323,152.16
  5. Step 5: Solve for x
    x = 323,152.16/504
  6. Step 6: Final answer
    x = 641.17

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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.