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Finding the Fourth Proportional to 585.12, 807.84 and 430.56

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Solution

The fourth proportional to 585.12, 807.84 and 430.56 is: 594.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.12 : 807.84 = 430.56 : x
  2. Step 2: Convert to fraction form
    585.12/807.84 = 430.56/x
  3. Step 3: Cross multiply
    585.12x = 807.84 × 430.56
  4. Step 4: Simplify right side
    585.12x = 347,823.59
  5. Step 5: Solve for x
    x = 347,823.59/585.12
  6. Step 6: Final answer
    x = 594.45

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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.