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Finding the Fourth Proportional to 617.83, 852.93 and 421.00

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Solution

The fourth proportional to 617.83, 852.93 and 421.00 is: 581.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.83 : 852.93 = 421.00 : x
  2. Step 2: Convert to fraction form
    617.83/852.93 = 421.00/x
  3. Step 3: Cross multiply
    617.83x = 852.93 × 421.00
  4. Step 4: Simplify right side
    617.83x = 359,081.40
  5. Step 5: Solve for x
    x = 359,081.40/617.83
  6. Step 6: Final answer
    x = 581.20

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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.