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Finding the Fourth Proportional to 503.69, 695.64 and 346.74

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Solution

The fourth proportional to 503.69, 695.64 and 346.74 is: 478.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.69 : 695.64 = 346.74 : x
  2. Step 2: Convert to fraction form
    503.69/695.64 = 346.74/x
  3. Step 3: Cross multiply
    503.69x = 695.64 × 346.74
  4. Step 4: Simplify right side
    503.69x = 241,206.21
  5. Step 5: Solve for x
    x = 241,206.21/503.69
  6. Step 6: Final answer
    x = 478.88

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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.