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Finding the Fourth Proportional to 556.32, 767.40 and 468.84

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Solution

The fourth proportional to 556.32, 767.40 and 468.84 is: 646.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.32 : 767.40 = 468.84 : x
  2. Step 2: Convert to fraction form
    556.32/767.40 = 468.84/x
  3. Step 3: Cross multiply
    556.32x = 767.40 × 468.84
  4. Step 4: Simplify right side
    556.32x = 359,787.82
  5. Step 5: Solve for x
    x = 359,787.82/556.32
  6. Step 6: Final answer
    x = 646.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.