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Finding the Fourth Proportional to 569.05, 785.30 and 317.00

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Solution

The fourth proportional to 569.05, 785.30 and 317.00 is: 437.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.05 : 785.30 = 317.00 : x
  2. Step 2: Convert to fraction form
    569.05/785.30 = 317.00/x
  3. Step 3: Cross multiply
    569.05x = 785.30 × 317.00
  4. Step 4: Simplify right side
    569.05x = 248,936.06
  5. Step 5: Solve for x
    x = 248,936.06/569.05
  6. Step 6: Final answer
    x = 437.46

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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.