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Finding the Fourth Proportional to 585.04, 876.47 and 292.21

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Solution

The fourth proportional to 585.04, 876.47 and 292.21 is: 437.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.04 : 876.47 = 292.21 : x
  2. Step 2: Convert to fraction form
    585.04/876.47 = 292.21/x
  3. Step 3: Cross multiply
    585.04x = 876.47 × 292.21
  4. Step 4: Simplify right side
    585.04x = 256,113.30
  5. Step 5: Solve for x
    x = 256,113.30/585.04
  6. Step 6: Final answer
    x = 437.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.