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Finding the Fourth Proportional to 655.16, 904.58 and 456.44

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Solution

The fourth proportional to 655.16, 904.58 and 456.44 is: 630.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.16 : 904.58 = 456.44 : x
  2. Step 2: Convert to fraction form
    655.16/904.58 = 456.44/x
  3. Step 3: Cross multiply
    655.16x = 904.58 × 456.44
  4. Step 4: Simplify right side
    655.16x = 412,886.50
  5. Step 5: Solve for x
    x = 412,886.50/655.16
  6. Step 6: Final answer
    x = 630.21

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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.