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Finding the Fourth Proportional to 503.64, 755.71 and 260.16

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Solution

The fourth proportional to 503.64, 755.71 and 260.16 is: 390.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.64 : 755.71 = 260.16 : x
  2. Step 2: Convert to fraction form
    503.64/755.71 = 260.16/x
  3. Step 3: Cross multiply
    503.64x = 755.71 × 260.16
  4. Step 4: Simplify right side
    503.64x = 196,607.19
  5. Step 5: Solve for x
    x = 196,607.19/503.64
  6. Step 6: Final answer
    x = 390.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.