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Finding the Fourth Proportional to 661.01, 912.03 and 412.45

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Solution

The fourth proportional to 661.01, 912.03 and 412.45 is: 569.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.01 : 912.03 = 412.45 : x
  2. Step 2: Convert to fraction form
    661.01/912.03 = 412.45/x
  3. Step 3: Cross multiply
    661.01x = 912.03 × 412.45
  4. Step 4: Simplify right side
    661.01x = 376,164.71
  5. Step 5: Solve for x
    x = 376,164.71/661.01
  6. Step 6: Final answer
    x = 569.08

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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.