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Finding the Fourth Proportional to 556.07, 766.53 and 457.66

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Solution

The fourth proportional to 556.07, 766.53 and 457.66 is: 630.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.07 : 766.53 = 457.66 : x
  2. Step 2: Convert to fraction form
    556.07/766.53 = 457.66/x
  3. Step 3: Cross multiply
    556.07x = 766.53 × 457.66
  4. Step 4: Simplify right side
    556.07x = 350,810.12
  5. Step 5: Solve for x
    x = 350,810.12/556.07
  6. Step 6: Final answer
    x = 630.87

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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.