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Finding the Fourth Proportional to 528.48, 727.65 and 434.93

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Solution

The fourth proportional to 528.48, 727.65 and 434.93 is: 598.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.48 : 727.65 = 434.93 : x
  2. Step 2: Convert to fraction form
    528.48/727.65 = 434.93/x
  3. Step 3: Cross multiply
    528.48x = 727.65 × 434.93
  4. Step 4: Simplify right side
    528.48x = 316,473.18
  5. Step 5: Solve for x
    x = 316,473.18/528.48
  6. Step 6: Final answer
    x = 598.84

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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.