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Finding the Fourth Proportional to 525.51, 723.56 and 476.91

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Solution

The fourth proportional to 525.51, 723.56 and 476.91 is: 656.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.51 : 723.56 = 476.91 : x
  2. Step 2: Convert to fraction form
    525.51/723.56 = 476.91/x
  3. Step 3: Cross multiply
    525.51x = 723.56 × 476.91
  4. Step 4: Simplify right side
    525.51x = 345,070.62
  5. Step 5: Solve for x
    x = 345,070.62/525.51
  6. Step 6: Final answer
    x = 656.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.