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Finding the Fourth Proportional to 525.96, 792.48 and 476.64

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Solution

The fourth proportional to 525.96, 792.48 and 476.64 is: 718.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.96 : 792.48 = 476.64 : x
  2. Step 2: Convert to fraction form
    525.96/792.48 = 476.64/x
  3. Step 3: Cross multiply
    525.96x = 792.48 × 476.64
  4. Step 4: Simplify right side
    525.96x = 377,727.67
  5. Step 5: Solve for x
    x = 377,727.67/525.96
  6. Step 6: Final answer
    x = 718.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.