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Finding the Fourth Proportional to 476.53, 657.72 and 429.82

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Solution

The fourth proportional to 476.53, 657.72 and 429.82 is: 593.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.53 : 657.72 = 429.82 : x
  2. Step 2: Convert to fraction form
    476.53/657.72 = 429.82/x
  3. Step 3: Cross multiply
    476.53x = 657.72 × 429.82
  4. Step 4: Simplify right side
    476.53x = 282,699.57
  5. Step 5: Solve for x
    x = 282,699.57/476.53
  6. Step 6: Final answer
    x = 593.25

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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.