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Finding the Fourth Proportional to 953.46, 1,430.28 and 260.17

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Solution

The fourth proportional to 953.46, 1,430.28 and 260.17 is: 390.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.46 : 1,430.28 = 260.17 : x
  2. Step 2: Convert to fraction form
    953.46/1,430.28 = 260.17/x
  3. Step 3: Cross multiply
    953.46x = 1,430.28 × 260.17
  4. Step 4: Simplify right side
    953.46x = 372,112.37
  5. Step 5: Solve for x
    x = 372,112.37/953.46
  6. Step 6: Final answer
    x = 390.28

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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.