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Finding the Fourth Proportional to 570.32, 785.63 and 477.03

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Solution

The fourth proportional to 570.32, 785.63 and 477.03 is: 657.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.32 : 785.63 = 477.03 : x
  2. Step 2: Convert to fraction form
    570.32/785.63 = 477.03/x
  3. Step 3: Cross multiply
    570.32x = 785.63 × 477.03
  4. Step 4: Simplify right side
    570.32x = 374,773.22
  5. Step 5: Solve for x
    x = 374,773.22/570.32
  6. Step 6: Final answer
    x = 657.13

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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.