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Finding the Fourth Proportional to 585.95, 807.80 and 417.99

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Solution

The fourth proportional to 585.95, 807.80 and 417.99 is: 576.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.95 : 807.80 = 417.99 : x
  2. Step 2: Convert to fraction form
    585.95/807.80 = 417.99/x
  3. Step 3: Cross multiply
    585.95x = 807.80 × 417.99
  4. Step 4: Simplify right side
    585.95x = 337,652.32
  5. Step 5: Solve for x
    x = 337,652.32/585.95
  6. Step 6: Final answer
    x = 576.25

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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.