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Finding the Fourth Proportional to 569.04, 785.04 and 464.40

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Solution

The fourth proportional to 569.04, 785.04 and 464.40 is: 640.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.04 : 785.04 = 464.40 : x
  2. Step 2: Convert to fraction form
    569.04/785.04 = 464.40/x
  3. Step 3: Cross multiply
    569.04x = 785.04 × 464.40
  4. Step 4: Simplify right side
    569.04x = 364,572.58
  5. Step 5: Solve for x
    x = 364,572.58/569.04
  6. Step 6: Final answer
    x = 640.68

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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.