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Finding the Fourth Proportional to 504.14, 695.76 and 283.10

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Solution

The fourth proportional to 504.14, 695.76 and 283.10 is: 390.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.14 : 695.76 = 283.10 : x
  2. Step 2: Convert to fraction form
    504.14/695.76 = 283.10/x
  3. Step 3: Cross multiply
    504.14x = 695.76 × 283.10
  4. Step 4: Simplify right side
    504.14x = 196,969.66
  5. Step 5: Solve for x
    x = 196,969.66/504.14
  6. Step 6: Final answer
    x = 390.70

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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.