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Finding the Fourth Proportional to 661.40, 910.71 and 578.02

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Solution

The fourth proportional to 661.40, 910.71 and 578.02 is: 795.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.40 : 910.71 = 578.02 : x
  2. Step 2: Convert to fraction form
    661.40/910.71 = 578.02/x
  3. Step 3: Cross multiply
    661.40x = 910.71 × 578.02
  4. Step 4: Simplify right side
    661.40x = 526,408.59
  5. Step 5: Solve for x
    x = 526,408.59/661.40
  6. Step 6: Final answer
    x = 795.90

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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.