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Finding the Fourth Proportional to 504.86, 696.46 and 292.16

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Solution

The fourth proportional to 504.86, 696.46 and 292.16 is: 403.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.86 : 696.46 = 292.16 : x
  2. Step 2: Convert to fraction form
    504.86/696.46 = 292.16/x
  3. Step 3: Cross multiply
    504.86x = 696.46 × 292.16
  4. Step 4: Simplify right side
    504.86x = 203,475.81
  5. Step 5: Solve for x
    x = 203,475.81/504.86
  6. Step 6: Final answer
    x = 403.04

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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.