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Finding the Fourth Proportional to 460.59, 690.54 and 152.26

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Solution

The fourth proportional to 460.59, 690.54 and 152.26 is: 228.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.59 : 690.54 = 152.26 : x
  2. Step 2: Convert to fraction form
    460.59/690.54 = 152.26/x
  3. Step 3: Cross multiply
    460.59x = 690.54 × 152.26
  4. Step 4: Simplify right side
    460.59x = 105,141.62
  5. Step 5: Solve for x
    x = 105,141.62/460.59
  6. Step 6: Final answer
    x = 228.28

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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.