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Finding the Fourth Proportional to 423.68, 583.04 and 412.16

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Solution

The fourth proportional to 423.68, 583.04 and 412.16 is: 567.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.68 : 583.04 = 412.16 : x
  2. Step 2: Convert to fraction form
    423.68/583.04 = 412.16/x
  3. Step 3: Cross multiply
    423.68x = 583.04 × 412.16
  4. Step 4: Simplify right side
    423.68x = 240,305.77
  5. Step 5: Solve for x
    x = 240,305.77/423.68
  6. Step 6: Final answer
    x = 567.19

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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.