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Finding the Fourth Proportional to 570.04, 785.64 and 414.52

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Solution

The fourth proportional to 570.04, 785.64 and 414.52 is: 571.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.04 : 785.64 = 414.52 : x
  2. Step 2: Convert to fraction form
    570.04/785.64 = 414.52/x
  3. Step 3: Cross multiply
    570.04x = 785.64 × 414.52
  4. Step 4: Simplify right side
    570.04x = 325,663.49
  5. Step 5: Solve for x
    x = 325,663.49/570.04
  6. Step 6: Final answer
    x = 571.30

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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.