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Finding the Fourth Proportional to 469.47, 700.77 and 435.70

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Solution

The fourth proportional to 469.47, 700.77 and 435.70 is: 650.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.47 : 700.77 = 435.70 : x
  2. Step 2: Convert to fraction form
    469.47/700.77 = 435.70/x
  3. Step 3: Cross multiply
    469.47x = 700.77 × 435.70
  4. Step 4: Simplify right side
    469.47x = 305,325.49
  5. Step 5: Solve for x
    x = 305,325.49/469.47
  6. Step 6: Final answer
    x = 650.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.