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Finding the Fourth Proportional to 511.65, 767.51 and 307.53

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Solution

The fourth proportional to 511.65, 767.51 and 307.53 is: 461.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.65 : 767.51 = 307.53 : x
  2. Step 2: Convert to fraction form
    511.65/767.51 = 307.53/x
  3. Step 3: Cross multiply
    511.65x = 767.51 × 307.53
  4. Step 4: Simplify right side
    511.65x = 236,032.35
  5. Step 5: Solve for x
    x = 236,032.35/511.65
  6. Step 6: Final answer
    x = 461.32

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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.