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Finding the Fourth Proportional to 423.63, 585.72 and 417.42

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Solution

The fourth proportional to 423.63, 585.72 and 417.42 is: 577.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.63 : 585.72 = 417.42 : x
  2. Step 2: Convert to fraction form
    423.63/585.72 = 417.42/x
  3. Step 3: Cross multiply
    423.63x = 585.72 × 417.42
  4. Step 4: Simplify right side
    423.63x = 244,491.24
  5. Step 5: Solve for x
    x = 244,491.24/423.63
  6. Step 6: Final answer
    x = 577.13

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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.