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Finding the Fourth Proportional to 615.08, 923.28 and 459.46

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Solution

The fourth proportional to 615.08, 923.28 and 459.46 is: 689.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.08 : 923.28 = 459.46 : x
  2. Step 2: Convert to fraction form
    615.08/923.28 = 459.46/x
  3. Step 3: Cross multiply
    615.08x = 923.28 × 459.46
  4. Step 4: Simplify right side
    615.08x = 424,210.23
  5. Step 5: Solve for x
    x = 424,210.23/615.08
  6. Step 6: Final answer
    x = 689.68

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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.