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Finding the Fourth Proportional to 656.04, 905.82 and 407.70

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Solution

The fourth proportional to 656.04, 905.82 and 407.70 is: 562.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.04 : 905.82 = 407.70 : x
  2. Step 2: Convert to fraction form
    656.04/905.82 = 407.70/x
  3. Step 3: Cross multiply
    656.04x = 905.82 × 407.70
  4. Step 4: Simplify right side
    656.04x = 369,302.81
  5. Step 5: Solve for x
    x = 369,302.81/656.04
  6. Step 6: Final answer
    x = 562.93

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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.