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Finding the Fourth Proportional to 700.60, 966.53 and 420.77

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Solution

The fourth proportional to 700.60, 966.53 and 420.77 is: 580.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.60 : 966.53 = 420.77 : x
  2. Step 2: Convert to fraction form
    700.60/966.53 = 420.77/x
  3. Step 3: Cross multiply
    700.60x = 966.53 × 420.77
  4. Step 4: Simplify right side
    700.60x = 406,687.58
  5. Step 5: Solve for x
    x = 406,687.58/700.60
  6. Step 6: Final answer
    x = 580.49

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1.5x scale

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.