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Finding the Fourth Proportional to 504.04, 756.06 and 230.08

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Solution

The fourth proportional to 504.04, 756.06 and 230.08 is: 345.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.04 : 756.06 = 230.08 : x
  2. Step 2: Convert to fraction form
    504.04/756.06 = 230.08/x
  3. Step 3: Cross multiply
    504.04x = 756.06 × 230.08
  4. Step 4: Simplify right side
    504.04x = 173,954.28
  5. Step 5: Solve for x
    x = 173,954.28/504.04
  6. Step 6: Final answer
    x = 345.12

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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.