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Finding the Fourth Proportional to 586.09, 807.33 and 420.04

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Solution

The fourth proportional to 586.09, 807.33 and 420.04 is: 578.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.09 : 807.33 = 420.04 : x
  2. Step 2: Convert to fraction form
    586.09/807.33 = 420.04/x
  3. Step 3: Cross multiply
    586.09x = 807.33 × 420.04
  4. Step 4: Simplify right side
    586.09x = 339,110.89
  5. Step 5: Solve for x
    x = 339,110.89/586.09
  6. Step 6: Final answer
    x = 578.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.