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Finding the Fourth Proportional to 495.84, 682.99 and 417.07

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Solution

The fourth proportional to 495.84, 682.99 and 417.07 is: 574.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.84 : 682.99 = 417.07 : x
  2. Step 2: Convert to fraction form
    495.84/682.99 = 417.07/x
  3. Step 3: Cross multiply
    495.84x = 682.99 × 417.07
  4. Step 4: Simplify right side
    495.84x = 284,854.64
  5. Step 5: Solve for x
    x = 284,854.64/495.84
  6. Step 6: Final answer
    x = 574.49

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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.