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Finding the Fourth Proportional to 586.02, 808.72 and 350.02

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Solution

The fourth proportional to 586.02, 808.72 and 350.02 is: 483.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.02 : 808.72 = 350.02 : x
  2. Step 2: Convert to fraction form
    586.02/808.72 = 350.02/x
  3. Step 3: Cross multiply
    586.02x = 808.72 × 350.02
  4. Step 4: Simplify right side
    586.02x = 283,068.17
  5. Step 5: Solve for x
    x = 283,068.17/586.02
  6. Step 6: Final answer
    x = 483.04

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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.