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Finding the Fourth Proportional to 585.40, 876.78 and 430.60

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Solution

The fourth proportional to 585.40, 876.78 and 430.60 is: 644.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.40 : 876.78 = 430.60 : x
  2. Step 2: Convert to fraction form
    585.40/876.78 = 430.60/x
  3. Step 3: Cross multiply
    585.40x = 876.78 × 430.60
  4. Step 4: Simplify right side
    585.40x = 377,541.47
  5. Step 5: Solve for x
    x = 377,541.47/585.40
  6. Step 6: Final answer
    x = 644.93

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Why These Related Problems?

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