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Finding the Fourth Proportional to 503.58, 696.14 and 498.92

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Solution

The fourth proportional to 503.58, 696.14 and 498.92 is: 689.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.58 : 696.14 = 498.92 : x
  2. Step 2: Convert to fraction form
    503.58/696.14 = 498.92/x
  3. Step 3: Cross multiply
    503.58x = 696.14 × 498.92
  4. Step 4: Simplify right side
    503.58x = 347,312.19
  5. Step 5: Solve for x
    x = 347,312.19/503.58
  6. Step 6: Final answer
    x = 689.69

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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.