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Finding the Fourth Proportional to 700.15, 965.93 and 420.40

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Solution

The fourth proportional to 700.15, 965.93 and 420.40 is: 579.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.15 : 965.93 = 420.40 : x
  2. Step 2: Convert to fraction form
    700.15/965.93 = 420.40/x
  3. Step 3: Cross multiply
    700.15x = 965.93 × 420.40
  4. Step 4: Simplify right side
    700.15x = 406,072.46
  5. Step 5: Solve for x
    x = 406,072.46/700.15
  6. Step 6: Final answer
    x = 579.98

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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.