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Finding the Fourth Proportional to 573.64, 859.34 and 458.32

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Solution

The fourth proportional to 573.64, 859.34 and 458.32 is: 686.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.64 : 859.34 = 458.32 : x
  2. Step 2: Convert to fraction form
    573.64/859.34 = 458.32/x
  3. Step 3: Cross multiply
    573.64x = 859.34 × 458.32
  4. Step 4: Simplify right side
    573.64x = 393,852.71
  5. Step 5: Solve for x
    x = 393,852.71/573.64
  6. Step 6: Final answer
    x = 686.59

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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.