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Finding the Fourth Proportional to 307.64, 458.82 and 259.16

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Solution

The fourth proportional to 307.64, 458.82 and 259.16 is: 386.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.64 : 458.82 = 259.16 : x
  2. Step 2: Convert to fraction form
    307.64/458.82 = 259.16/x
  3. Step 3: Cross multiply
    307.64x = 458.82 × 259.16
  4. Step 4: Simplify right side
    307.64x = 118,907.79
  5. Step 5: Solve for x
    x = 118,907.79/307.64
  6. Step 6: Final answer
    x = 386.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.