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Finding the Fourth Proportional to 586.01, 808.67 and 364.94

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Solution

The fourth proportional to 586.01, 808.67 and 364.94 is: 503.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.01 : 808.67 = 364.94 : x
  2. Step 2: Convert to fraction form
    586.01/808.67 = 364.94/x
  3. Step 3: Cross multiply
    586.01x = 808.67 × 364.94
  4. Step 4: Simplify right side
    586.01x = 295,110.16
  5. Step 5: Solve for x
    x = 295,110.16/586.01
  6. Step 6: Final answer
    x = 503.60

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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.