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Finding the Fourth Proportional to 556.09, 832.21 and 457.40

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Solution

The fourth proportional to 556.09, 832.21 and 457.40 is: 684.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.09 : 832.21 = 457.40 : x
  2. Step 2: Convert to fraction form
    556.09/832.21 = 457.40/x
  3. Step 3: Cross multiply
    556.09x = 832.21 × 457.40
  4. Step 4: Simplify right side
    556.09x = 380,653.79
  5. Step 5: Solve for x
    x = 380,653.79/556.09
  6. Step 6: Final answer
    x = 684.52

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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.