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Finding the Fourth Proportional to 556.81, 767.55 and 468.25

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Solution

The fourth proportional to 556.81, 767.55 and 468.25 is: 645.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.81 : 767.55 = 468.25 : x
  2. Step 2: Convert to fraction form
    556.81/767.55 = 468.25/x
  3. Step 3: Cross multiply
    556.81x = 767.55 × 468.25
  4. Step 4: Simplify right side
    556.81x = 359,405.29
  5. Step 5: Solve for x
    x = 359,405.29/556.81
  6. Step 6: Final answer
    x = 645.47

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