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Finding the Fourth Proportional to 430.96, 594.48 and 402.16

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Solution

The fourth proportional to 430.96, 594.48 and 402.16 is: 554.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.96 : 594.48 = 402.16 : x
  2. Step 2: Convert to fraction form
    430.96/594.48 = 402.16/x
  3. Step 3: Cross multiply
    430.96x = 594.48 × 402.16
  4. Step 4: Simplify right side
    430.96x = 239,076.08
  5. Step 5: Solve for x
    x = 239,076.08/430.96
  6. Step 6: Final answer
    x = 554.75

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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.