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Finding the Fourth Proportional to 405.34, 560 and 312.46

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Solution

The fourth proportional to 405.34, 560 and 312.46 is: 431.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.34 : 560 = 312.46 : x
  2. Step 2: Convert to fraction form
    405.34/560 = 312.46/x
  3. Step 3: Cross multiply
    405.34x = 560 × 312.46
  4. Step 4: Simplify right side
    405.34x = 174,977.60
  5. Step 5: Solve for x
    x = 174,977.60/405.34
  6. Step 6: Final answer
    x = 431.68

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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.