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Finding the Fourth Proportional to 555.84, 832.32 and 478.72

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Solution

The fourth proportional to 555.84, 832.32 and 478.72 is: 716.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.84 : 832.32 = 478.72 : x
  2. Step 2: Convert to fraction form
    555.84/832.32 = 478.72/x
  3. Step 3: Cross multiply
    555.84x = 832.32 × 478.72
  4. Step 4: Simplify right side
    555.84x = 398,448.23
  5. Step 5: Solve for x
    x = 398,448.23/555.84
  6. Step 6: Final answer
    x = 716.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.