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Finding the Fourth Proportional to 570.96, 785.66 and 477.41

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Solution

The fourth proportional to 570.96, 785.66 and 477.41 is: 656.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.96 : 785.66 = 477.41 : x
  2. Step 2: Convert to fraction form
    570.96/785.66 = 477.41/x
  3. Step 3: Cross multiply
    570.96x = 785.66 × 477.41
  4. Step 4: Simplify right side
    570.96x = 375,075.63
  5. Step 5: Solve for x
    x = 375,075.63/570.96
  6. Step 6: Final answer
    x = 656.92

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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.