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Finding the Fourth Proportional to 665.04, 916.96 and 478.24

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Solution

The fourth proportional to 665.04, 916.96 and 478.24 is: 659.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.04 : 916.96 = 478.24 : x
  2. Step 2: Convert to fraction form
    665.04/916.96 = 478.24/x
  3. Step 3: Cross multiply
    665.04x = 916.96 × 478.24
  4. Step 4: Simplify right side
    665.04x = 438,526.95
  5. Step 5: Solve for x
    x = 438,526.95/665.04
  6. Step 6: Final answer
    x = 659.40

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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.