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Finding the Fourth Proportional to 586.10, 807.98 and 364.94

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Solution

The fourth proportional to 586.10, 807.98 and 364.94 is: 503.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.10 : 807.98 = 364.94 : x
  2. Step 2: Convert to fraction form
    586.10/807.98 = 364.94/x
  3. Step 3: Cross multiply
    586.10x = 807.98 × 364.94
  4. Step 4: Simplify right side
    586.10x = 294,864.22
  5. Step 5: Solve for x
    x = 294,864.22/586.10
  6. Step 6: Final answer
    x = 503.10

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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.