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Finding the Fourth Proportional to 570.76, 785.66 and 492.33

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Solution

The fourth proportional to 570.76, 785.66 and 492.33 is: 677.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.76 : 785.66 = 492.33 : x
  2. Step 2: Convert to fraction form
    570.76/785.66 = 492.33/x
  3. Step 3: Cross multiply
    570.76x = 785.66 × 492.33
  4. Step 4: Simplify right side
    570.76x = 386,803.99
  5. Step 5: Solve for x
    x = 386,803.99/570.76
  6. Step 6: Final answer
    x = 677.70

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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.