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Finding the Fourth Proportional to 586.58, 808.55 and 462.02

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Solution

The fourth proportional to 586.58, 808.55 and 462.02 is: 636.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.58 : 808.55 = 462.02 : x
  2. Step 2: Convert to fraction form
    586.58/808.55 = 462.02/x
  3. Step 3: Cross multiply
    586.58x = 808.55 × 462.02
  4. Step 4: Simplify right side
    586.58x = 373,566.20
  5. Step 5: Solve for x
    x = 373,566.20/586.58
  6. Step 6: Final answer
    x = 636.86

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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.