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Finding the Fourth Proportional to 472.36, 651.72 and 297.76

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Solution

The fourth proportional to 472.36, 651.72 and 297.76 is: 410.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.36 : 651.72 = 297.76 : x
  2. Step 2: Convert to fraction form
    472.36/651.72 = 297.76/x
  3. Step 3: Cross multiply
    472.36x = 651.72 × 297.76
  4. Step 4: Simplify right side
    472.36x = 194,056.15
  5. Step 5: Solve for x
    x = 194,056.15/472.36
  6. Step 6: Final answer
    x = 410.82

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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.