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Finding the Fourth Proportional to 504.51, 756.14 and 288.21

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Solution

The fourth proportional to 504.51, 756.14 and 288.21 is: 431.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.51 : 756.14 = 288.21 : x
  2. Step 2: Convert to fraction form
    504.51/756.14 = 288.21/x
  3. Step 3: Cross multiply
    504.51x = 756.14 × 288.21
  4. Step 4: Simplify right side
    504.51x = 217,925.67
  5. Step 5: Solve for x
    x = 217,925.67/504.51
  6. Step 6: Final answer
    x = 431.96

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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.