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Finding the Fourth Proportional to 473.04, 652.59 and 407.84

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Solution

The fourth proportional to 473.04, 652.59 and 407.84 is: 562.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.04 : 652.59 = 407.84 : x
  2. Step 2: Convert to fraction form
    473.04/652.59 = 407.84/x
  3. Step 3: Cross multiply
    473.04x = 652.59 × 407.84
  4. Step 4: Simplify right side
    473.04x = 266,149.04
  5. Step 5: Solve for x
    x = 266,149.04/473.04
  6. Step 6: Final answer
    x = 562.64

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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.