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Finding the Fourth Proportional to 594.60, 889.50 and 465

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Solution

The fourth proportional to 594.60, 889.50 and 465 is: 695.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.60 : 889.50 = 465 : x
  2. Step 2: Convert to fraction form
    594.60/889.50 = 465/x
  3. Step 3: Cross multiply
    594.60x = 889.50 × 465
  4. Step 4: Simplify right side
    594.60x = 413,617.50
  5. Step 5: Solve for x
    x = 413,617.50/594.60
  6. Step 6: Final answer
    x = 695.62

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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.