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Finding the Fourth Proportional to 595.76, 889.88 and 473.66

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Solution

The fourth proportional to 595.76, 889.88 and 473.66 is: 707.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.76 : 889.88 = 473.66 : x
  2. Step 2: Convert to fraction form
    595.76/889.88 = 473.66/x
  3. Step 3: Cross multiply
    595.76x = 889.88 × 473.66
  4. Step 4: Simplify right side
    595.76x = 421,493.74
  5. Step 5: Solve for x
    x = 421,493.74/595.76
  6. Step 6: Final answer
    x = 707.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.