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Finding the Fourth Proportional to 648.65, 973.08 and 258.65

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Solution

The fourth proportional to 648.65, 973.08 and 258.65 is: 388.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.65 : 973.08 = 258.65 : x
  2. Step 2: Convert to fraction form
    648.65/973.08 = 258.65/x
  3. Step 3: Cross multiply
    648.65x = 973.08 × 258.65
  4. Step 4: Simplify right side
    648.65x = 251,683.42
  5. Step 5: Solve for x
    x = 251,683.42/648.65
  6. Step 6: Final answer
    x = 388.01

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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.