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Finding the Fourth Proportional to 505.24, 696.64 and 347.95

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Solution

The fourth proportional to 505.24, 696.64 and 347.95 is: 479.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.24 : 696.64 = 347.95 : x
  2. Step 2: Convert to fraction form
    505.24/696.64 = 347.95/x
  3. Step 3: Cross multiply
    505.24x = 696.64 × 347.95
  4. Step 4: Simplify right side
    505.24x = 242,395.89
  5. Step 5: Solve for x
    x = 242,395.89/505.24
  6. Step 6: Final answer
    x = 479.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.